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Solve for x (complex solution)
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-12y=486-4x^{2}
Subtract 4x^{2} from both sides.
\frac{-12y}{-12}=\frac{486-4x^{2}}{-12}
Divide both sides by -12.
y=\frac{486-4x^{2}}{-12}
Dividing by -12 undoes the multiplication by -12.
y=\frac{x^{2}}{3}-\frac{81}{2}
Divide 486-4x^{2} by -12.