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Solve for x (complex solution)
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2y+96x^{2}=36-3x
Subtract 3x from both sides.
2y=36-3x-96x^{2}
Subtract 96x^{2} from both sides.
\frac{2y}{2}=\frac{36-3x-96x^{2}}{2}
Divide both sides by 2.
y=\frac{36-3x-96x^{2}}{2}
Dividing by 2 undoes the multiplication by 2.
y=-48x^{2}-\frac{3x}{2}+18
Divide 36-3x-96x^{2} by 2.