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var(--qf-split-glow,rgba(165,180,252,.4));opacity:var(--qf-split-target-active-opacity,1)}._targetBSum_na6al_147{background:var(--qf-b-fill-muted,rgba(245,158,11,.08));border-color:var(--qf-b-border,#f59e0b);color:var(--qf-b-text,#fbbf24);left:50%;opacity:.3;top:80%;width:5.5rem}._targetPlaced_na6al_157{box-shadow:none;opacity:1;pointer-events:none}._targetSourceValue_na6al_163{opacity:1;pointer-events:auto}._targetSourceValueActive_na6al_168{box-shadow:0 0 22px var(--qf-a-glow,rgba(45,212,191,.42));cursor:grab;z-index:100}._targetEvidenceInactive_na6al_174{box-shadow:none!important;opacity:.46!important;pointer-events:none!important}._targetEvidenceInactive_na6al_174:after{opacity:.2!important}@media(orientation:portrait)and (max-width:1024px){._productTargetVisible_na6al_100,._targetBAvailable_na6al_138,._targetSplitAvailable_na6al_142{transform:translate(-50%,-50%) scale(1.14)}._targetSourceValueActive_na6al_168{box-shadow:0 0 0 4px color-mix(in srgb,currentColor 22%,transparent),0 0 30px var(--qf-a-glow,rgba(45,212,191,.42));min-height:3.5rem;min-width:4.75rem;transform:translate(-50%,-50%) scale(1.22)}}._targetB1_na6al_111._targetPlaced_na6al_157,._targetB2_na6al_120._targetPlaced_na6al_157{background:var(--qf-split-fill,rgba(129,140,248,.18));box-shadow:none;opacity:1;pointer-events:none}._operator_na6al_209{color:var(--qf-world-text,#f8fafc);display:grid;font-size:2rem;font-weight:900;height:2rem;line-height:1;place-items:center;pointer-events:none;position:absolute;transform:translate(-50%,-50%);width:2rem;z-index:9}._operatorInactive_na6al_224{opacity:.46}._multiplyOperator_na6al_228{left:50%;top:20%}._container_1mhxl_1{--qf-role-text:var(--qf-world-text);--qf-role-border:var(--qf-rail);--qf-role-fill:var(--qf-world-surface);--qf-role-fill-muted:color-mix(in srgb,var(--qf-world-surface) 60%,transparent);--qf-role-glow:var(--qf-rail-muted);color:var(--qf-world-text);display:grid;gap:.9rem;transform-origin:center;width:360px}._roleA_1mhxl_15{--qf-role-text:var(--qf-a-text,#5eead4);--qf-role-border:var(--qf-a-border,#14b8a6);--qf-role-fill:var(--qf-a-fill,rgba(20,184,166,.18));--qf-role-fill-muted:var(--qf-a-fill-muted,rgba(20,184,166,.08));--qf-role-glow:var(--qf-a-glow,rgba(94,234,212,.42))}._roleSplit_1mhxl_23{--qf-role-text:var(--qf-split-text,#a5b4fc);--qf-role-border:var(--qf-split-border,#818cf8);--qf-role-fill:var(--qf-split-fill,rgba(129,140,248,.18));--qf-role-fill-muted:var(--qf-split-fill-muted,rgba(129,140,248,.08));--qf-role-glow:var(--qf-split-glow,rgba(165,180,252,.4))}._roleB_1mhxl_31{--qf-role-text:var(--qf-b-text,#fbbf24);--qf-role-border:var(--qf-b-border,#f59e0b);--qf-role-fill:var(--qf-b-fill,rgba(245,158,11,.18));--qf-role-fill-muted:var(--qf-b-fill-muted,rgba(245,158,11,.08));--qf-role-glow:var(--qf-b-glow,rgba(251,191,36,.42))}._roleC_1mhxl_39{--qf-role-text:var(--qf-c-text,#93c5fd);--qf-role-border:var(--qf-c-border,#60a5fa);--qf-role-fill:var(--qf-c-fill,rgba(96,165,250,.18));--qf-role-fill-muted:var(--qf-c-fill-muted,rgba(96,165,250,.08));--qf-role-glow:var(--qf-c-glow,rgba(147,197,253,.4))}._stateActive_1mhxl_47{box-shadow:0 0 0 2px color-mix(in srgb,var(--qf-role-glow) 84%,transparent),0 0 22px var(--qf-role-glow);filter:none;opacity:1;transition:box-shadow .18s ease}._stateAvailable_1mhxl_54{box-shadow:none;filter:none;opacity:.72}._stateInactive_1mhxl_60{box-shadow:none;filter:grayscale(.25);opacity:.38;pointer-events:none}._statePlaced_1mhxl_67{filter:none;opacity:1}._interactionDrag_1mhxl_72{cursor:grab;touch-action:none;-webkit-user-select:none;-moz-user-select:none;user-select:none;will-change:transform}._interactionClick_1mhxl_79{cursor:pointer}._interactionClick_1mhxl_79:focus-visible,._interactionClick_1mhxl_79:hover{outline:2px solid color-mix(in srgb,var(--qf-role-border) 78%,#fff);outline-offset:2px}._preview_1mhxl_89{opacity:0;transform:scale(.96)}._grid_1mhxl_94{display:grid;gap:.65rem;grid-template-columns:repeat(2,minmax(0,1fr));grid-template-rows:repeat(2,8rem);overflow:visible;position:relative}._container_1mhxl_1 .is-dragging{overflow:visible;z-index:10000!important}._cell_1mhxl_108{display:flex;place-items:top;align-items:baseline;background:var(--qf-surface-muted);border:2px solid var(--qf-rail-muted);border-radius:8px;color:var(--qf-rail);font-size:1.25rem;font-weight:900;justify-content:center;position:relative;transition:box-shadow .18s ease}._cellButton_1mhxl_125{cursor:pointer}._cellButton_1mhxl_125:focus-visible{outline:3px solid var(--qf-negative-border);outline-offset:3px}._cellTopLeft_1mhxl_134{background:var(--qf-a-fill-muted,rgba(20,184,166,.08));border-color:var(--qf-a-border,#14b8a6);color:var(--qf-a-text,#5eead4);justify-items:center}._cellBottomLeft_1mhxl_143,._cellTopRight_1mhxl_142{background:var(--qf-split-fill-muted,rgba(129,140,248,.08));border-color:var(--qf-split-border,#818cf8);color:var(--qf-split-text,#a5b4fc)}._cellBottomRight_1mhxl_149{background:var(--qf-c-fill-muted,rgba(96,165,250,.08));border-color:var(--qf-c-border,#60a5fa);color:var(--qf-c-text,#93c5fd)}._coeffTopLeft_1mhxl_154{border:1.5px solid var(--qf-a-border,#14b8a6);border-radius:4px;color:var(--qf-a-text,#5eead4);display:inline-grid;font-size:1.5rem;font-weight:700;height:2.25rem;line-height:1;min-width:2rem;padding:.15rem .25rem;place-items:center}._coeffBottomLeft_1mhxl_170,._coeffTopRight_1mhxl_169{border:1.5px solid var(--qf-split-border,#14b8a6);border-radius:4px;color:var(--qf-split-text,#5eead4);display:inline-grid;font-size:1.5rem;font-weight:700;height:2.25rem;line-height:1;min-width:1rem;padding:.15rem .25rem;place-items:center}._coeffBottomRight_1mhxl_184{border:1.5px solid var(--qf-c-border,#60a5fa);border-radius:4px;color:var(--qf-c-text,#93c5fd);display:inline-grid;font-size:1.5rem;font-weight:700;height:2.25rem;line-height:1;min-width:2.5rem;padding:.15rem .25rem;place-items:center}._variableBottomLeft_1mhxl_201,._variableTopLeft_1mhxl_199,._variableTopRight_1mhxl_200{line-height:1}._decomposeLayer_1mhxl_205{inset:0;pointer-events:none;position:absolute;z-index:3}._grid_1mhxl_94:has(.is-dragging) ._decomposeLayer_1mhxl_205{z-index:80}._decomposeCoefficientPieceTarget_1mhxl_218,._decomposeFactorPiece_1mhxl_216,._decomposeFactorTarget_1mhxl_217{background:var(--qf-role-fill);border:2px solid color-mix(in srgb,var(--qf-role-border) 90%,transparent);border-radius:0;color:var(--qf-role-text);display:grid;font-size:1.3rem;font-weight:900;height:34px;line-height:1;place-items:center;pointer-events:auto;position:absolute;transition:box-shadow .18s ease;width:34px}._decomposeFactorTarget_1mhxl_217,._decomposeSplitFactorTarget_1mhxl_240{background:color-mix(in srgb,var(--qf-world-bg,#0b1220) 82%,transparent);color:var(--qf-role-text)}._decomposeSplitFactorTarget_1mhxl_240{border-color:var(--qf-role-border)}._decomposeCoefficientPieceTarget_1mhxl_218{background:color-mix(in srgb,var(--qf-world-bg,#0b1220) 82%,transparent);color:var(--qf-role-text)}._decomposeCoefficientPieceTarget_1mhxl_218[data-mt-dd-state=disabled]{filter:grayscale(.35);opacity:.26!important}._decomposeFactorTargetFilled_1mhxl_256,._decomposeSplitFactorTarget_1mhxl_240._decomposeFactorTargetFilled_1mhxl_256{background:var(--qf-role-fill)}._decomposeFactorTargetActive_1mhxl_264,._decomposeSplitFactorTarget_1mhxl_240._decomposeFactorTargetActive_1mhxl_264{box-shadow:0 0 0 2px color-mix(in srgb,var(--qf-role-glow) 84%,transparent),0 0 22px 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var(--qf-role-glow);transform:scale(1.28);z-index:24}._decomposeFactorTargetActive_1mhxl_264,._decomposeSplitFactorTarget_1mhxl_240._decomposeFactorTargetActive_1mhxl_264{transform:scale(1.18);z-index:16}._decomposeCoefficientPieceTarget_1mhxl_218,._decomposeFactorTarget_1mhxl_217{min-height:40px;min-width:40px}}._decomposeFactorPieceUsed_1mhxl_381{opacity:.36}._decomposeFactorOperator_1mhxl_385{color:color-mix(in srgb,var(--qf-world-text,rgba(15,23,42,.92)) 78%,transparent);display:grid;font:900 1.2rem/1 ui-monospace,SFMono-Regular,Consolas,monospace;height:24px;place-items:center;pointer-events:none;position:absolute;width:24px;z-index:4}.dark ._decomposeFactorOperator_1mhxl_385{color:var(--qf-text-muted)}[data-testid=quadratic-build-box__decompose-top-left-operator]{left:123px;top:44px}[data-testid=quadratic-build-box__decompose-top-left-coefficient-operator]{left:43px;top:44px}[data-testid=quadratic-build-box__decompose-bottom-left-operator]{left:123px;top:182px}[data-testid=quadratic-build-box__decompose-bottom-left-coefficient-operator]{left:43px;top:182px}[data-testid=quadratic-build-box__decompose-top-right-coefficient-operator]{left:223px;top:44px}[data-testid=quadratic-build-box__decompose-top-right-coefficient-x-operator]{left:263px;top:44px}[data-testid=quadratic-build-box__decompose-bottom-right-coefficient-operator]{left:223px;top:182px}._railTarget_11v3e_1{--qf-rail-border:var(--qf-b-border);--qf-rail-fill:var(--qf-b-fill);--qf-rail-text:var(--qf-b-text);--qf-rail-glow:var(--qf-b-glow);color:var(--qf-rail-text);display:grid;font-size:1.3rem;font-weight:900;gap:4px;line-height:1;opacity:1;pointer-events:auto;position:absolute;z-index:5}._railTargetTop_11v3e_19{grid-auto-columns:34px;grid-auto-flow:column}._railTargetBottom_11v3e_25,._railTargetLeft_11v3e_24{grid-auto-flow:row}._railTargetPair_11v3e_29{display:grid;gap:4px;grid-template-columns:repeat(2,34px)}._railTargetBottom_11v3e_25 ._railTargetPair_11v3e_29,._railTargetLeft_11v3e_24 ._railTargetPair_11v3e_29,._railTargetTop_11v3e_19 ._railTargetPair_11v3e_29{grid-template-columns:34px}._railTargetSlot_11v3e_41{background:var(--qf-rail-fill);border:2px solid var(--qf-rail-border);color:var(--qf-rail-text);display:grid;height:34px;place-items:center;width:34px}._railTargetActive_11v3e_51,._railTargetPlaced_11v3e_55{opacity:1}._railTrackTop_11v3e_59{top:-42px}._railTrackSide_11v3e_63{left:-48px}._railColumnStart_11v3e_67{left:60px}._railColumnVariable_11v3e_71{left:98px}._railColumnOperator_11v3e_75{left:174px}._railColumnEnd_11v3e_79{left:250px}._railOperatorTarget_11v3e_83 ._railTargetSlot_11v3e_41{background:var(--qf-rail-fill);border-color:var(--qf-rail-border);color:var(--qf-rail-text)}._railOperatorTarget_11v3e_83._railTargetPlaced_11v3e_55 ._railTargetSlot_11v3e_41 span{animation:_railOperatorExtract_11v3e_1 .36s ease-out both}._railRowTop_11v3e_93{top:39px}._railRowOperator_11v3e_97{top:127px}._railRowBottom_11v3e_101{top:177px}@media(orientation:portrait)and (max-width:1024px){._railTargetActive_11v3e_51{transform:scale(1.18);z-index:18}._railTargetSlot_11v3e_41{min-height:40px;min-width:40px}}@keyframes _railOperatorExtract_11v3e_1{0%{opacity:0;transform:translateY(-10px) scale(.72)}62%{opacity:1;transform:translateY(2px) scale(1.16)}to{opacity:1;transform:translateY(0) scale(1)}}._container_1by3q_1{color:var(--qf-world-text,var(--mt-text));font-family:STIX Two Math,Georgia,Times New Roman,serif;height:var(--qf-equation-row-height,56px);justify-content:center;line-height:1;width:var(--qf-equation-row-width,576px)}._container_1by3q_1,._leftSide_1by3q_12{align-items:center;display:flex}._rightSide_1by3q_17{min-width:1.5rem}._equals_1by3q_26,._rightSide_1by3q_17{align-items:center;color:var(--qf-world-text,var(--mt-text));display:inline-flex;font-size:3rem;justify-content:center}._equals_1by3q_26{min-width:3.75rem}._operator_1by3q_40,._term_1by3q_35{align-items:center;display:inline-flex}._operator_1by3q_40{font-size:2.5rem;justify-content:center;min-width:1.25rem}._coefficientChip_1by3q_48{display:inline-grid;font-size:2.5rem;min-height:3.5rem;min-width:3.125rem;place-items:center}._cSource_1by3q_56,._variable_1by3q_61{align-items:center;display:inline-flex}._variable_1by3q_61{color:var(--qf-world-text,var(--mt-text));font-size:2.5rem}._aTerm_1by3q_68{color:var(--qf-a-border,#14b8a6)}._bTerm_1by3q_72{color:var(--qf-b-border,#f59e0b)}._cTerm_1by3q_76{color:var(--qf-c-border,#60a5fa)}._informational_1by3q_80{opacity:.75;pointer-events:none}._container_ncl6v_1{--qf-role-text:var(--qf-world-text,#f8fafc);--qf-role-border:var(--qf-rail,rgba(226,232,240,.72));--qf-role-fill:var(--qf-world-surface,#11172a);--qf-role-fill-muted:color-mix(in srgb,var(--qf-world-surface,#11172a) 60%,transparent);--qf-role-glow:var(--qf-rail-muted);color:var(--qf-world-text,#f8fafc);display:grid;gap:1rem;justify-items:center;width:360px}._roleA_ncl6v_15{--qf-role-text:var(--qf-a-text,#5eead4);--qf-role-border:var(--qf-a-border,#14b8a6);--qf-role-fill:var(--qf-a-fill,rgba(20,184,166,.18));--qf-role-fill-muted:var(--qf-a-fill-muted,rgba(20,184,166,.08));--qf-role-glow:var(--qf-a-glow,rgba(94,234,212,.42))}._roleSplit_ncl6v_23{--qf-role-text:var(--qf-split-text,#a5b4fc);--qf-role-border:var(--qf-split-border,#818cf8);--qf-role-fill:var(--qf-split-fill,rgba(129,140,248,.18));--qf-role-fill-muted:var(--qf-split-fill-muted,rgba(129,140,248,.08));--qf-role-glow:var(--qf-split-glow,rgba(165,180,252,.4))}._roleB_ncl6v_31{--qf-role-text:var(--qf-b-text,#fbbf24);--qf-role-border:var(--qf-b-border,#f59e0b);--qf-role-fill:var(--qf-b-fill,rgba(245,158,11,.18));--qf-role-fill-muted:var(--qf-b-fill-muted,rgba(245,158,11,.08));--qf-role-glow:var(--qf-b-glow,rgba(251,191,36,.42))}._roleC_ncl6v_39{--qf-role-text:var(--qf-c-text,#93c5fd);--qf-role-border:var(--qf-c-border,#60a5fa);--qf-role-fill:var(--qf-c-fill,rgba(96,165,250,.18));--qf-role-fill-muted:var(--qf-c-fill-muted,rgba(96,165,250,.08));--qf-role-glow:var(--qf-c-glow,rgba(147,197,253,.4))}._stateActive_ncl6v_47{box-shadow:0 0 0 2px color-mix(in srgb,var(--qf-role-glow) 84%,transparent),0 0 22px var(--qf-role-glow);filter:none;opacity:1}._stateAvailable_ncl6v_53{box-shadow:none;filter:none;opacity:.72}._stateInactive_ncl6v_59{box-shadow:none;filter:grayscale(.25);opacity:.38}._statePlaced_ncl6v_65{box-shadow:none;filter:none;opacity:.35}._interactionDrag_ncl6v_71{cursor:grab;touch-action:none;-webkit-user-select:none;-moz-user-select:none;user-select:none;will-change:transform}._interactionClick_ncl6v_78{cursor:pointer}._interactionClick_ncl6v_78:focus-visible,._interactionClick_ncl6v_78:hover{outline:2px solid color-mix(in srgb,var(--qf-role-border) 78%,#fff);outline-offset:2px}._equation_ncl6v_88{display:grid;justify-items:center}._scaffold_ncl6v_93{display:grid;gap:1px 0;grid-template-columns:repeat(2,minmax(0,1fr));width:316px}._leftCoefficientScaffold_ncl6v_100{width:360px}._rightCoefficientScaffold_ncl6v_104{width:420px}._leftCoefficientScaffold_ncl6v_100 ._cell_ncl6v_108,._rightCoefficientScaffold_ncl6v_104 ._cell_ncl6v_108{min-height:178px}._leftRail_ncl6v_116{grid-template-columns:3.25rem repeat(2,minmax(0,1fr))}._leftRailTarget_ncl6v_120{align-self:center;background:color-mix(in srgb,var(--qf-role-fill) 56%,transparent);border:2px solid color-mix(in srgb,var(--qf-role-border) 78%,transparent);color:var(--qf-role-text);display:grid;font-size:1.35rem;font-weight:900;grid-column:1;grid-row:1/span 2;height:2.6rem;justify-self:center;line-height:1;place-items:center;width:2.6rem}._leftRailValue_ncl6v_137{display:inline-grid;place-items:center}._cell_ncl6v_108{background:color-mix(in srgb,var(--qf-split-fill-muted,rgba(129,140,248,.08)) 75%,transparent);border:2px solid color-mix(in srgb,var(--qf-split-border,#818cf8) 42%,transparent);border-radius:0;display:grid;grid-template-rows:80px 78px;overflow:hidden}._cellTop_ncl6v_151{background:color-mix(in srgb,var(--qf-world-text,#f8fafc) 4%,transparent);border-bottom:2px solid color-mix(in srgb,var(--qf-split-border,#818cf8) 42%,transparent)}._cellBottom_ncl6v_156{background:color-mix(in srgb,var(--qf-world-bg,#0b1220) 72%,transparent)}._factorCell_ncl6v_160{background:var(--qf-role-fill-muted);border-color:color-mix(in srgb,var(--qf-role-border) 64%,transparent);display:grid;overflow:visible;padding:.85rem;place-items:center;position:relative;z-index:2}._factorCellSplit_ncl6v_171{background:var(--qf-role-fill-muted);border-color:color-mix(in srgb,var(--qf-role-border) 76%,transparent)}._mutedCell_ncl6v_176{opacity:.38}._coefficientCell_ncl6v_180{align-content:center;background:var(--qf-role-fill-muted);border-color:color-mix(in srgb,var(--qf-role-border) 72%,transparent);display:grid;grid-template-rows:auto 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78%,transparent);font-size:1.4rem;font-weight:900;line-height:1}._container_1xuqr_1{display:grid;height:100%;overflow:visible;place-items:center;position:relative;transition:opacity .18s ease,filter .18s 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var(--qf-a-border,#14b8a6);color:var(--qf-a-text,#5eead4);cursor:pointer;font:inherit;font-weight:900;padding:.75rem 1.1rem;pointer-events:auto}@keyframes _finalRevealFlyover_sfzau_99{0%{opacity:0;transform:translate(12rem,-11rem) scale(.58)}44%{opacity:1;transform:translate(5rem,-8rem) scale(.82)}to{opacity:1;transform:translate(0) scale(1)}}@media(orientation:portrait)and (max-width:1024px){._labDesktopRoot_sfzau_1{align-content:start;justify-content:center;min-height:calc(100vh - 50px);overflow:hidden;padding-inline:.75rem}._mobileLabHeader_sfzau_8{background:color-mix(in srgb,var(--qf-world-bg,#0b1220) 88%,transparent);border-bottom:1px solid color-mix(in srgb,var(--qf-rail-muted,rgba(226,232,240,.28)) 58%,transparent);color:var(--qf-world-text,#f8fafc);display:grid;gap:.45rem;padding:.55rem .75rem 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auto;font:inherit;font-weight:900;height:2rem;place-items:center;width:2rem}._mobileLabHeaderEquationRow_sfzau_211{--qf-equation-row-width:min(100%,340px);--qf-equation-row-height:2.35rem;justify-self:center;padding-top:.15rem}._mobileLabHeaderEquationRow_sfzau_211 [data-testid=quadratic-equation-row__a-coefficient],._mobileLabHeaderEquationRow_sfzau_211 [data-testid=quadratic-equation-row__b-coefficient],._mobileLabHeaderEquationRow_sfzau_211 [data-testid=quadratic-equation-row__c-source]{min-height:2.4rem;min-width:2.4rem;touch-action:none}._mobileLabHeaderEquationRow_sfzau_211 [data-testid=quadratic-equation-row__equals],._mobileLabHeaderEquationRow_sfzau_211 [data-testid=quadratic-equation-row__left-side] span,._mobileLabHeaderEquationRow_sfzau_211 [data-testid=quadratic-equation-row__right-side]{font-size:1.65rem}._mobileLabHeaderEquationRow_sfzau_211 [data-testid=quadratic-equation-row__equals]{min-width:2.2rem}._mobileLabHeader_sfzau_8 .mobile-drag-zoom-controls{justify-self:center}._leftWorkspaceStack_sfzau_27{height:460px}}