Solve for y
y=-\frac{x^{2}}{2}-8
Solve for x (complex solution)
x=-\sqrt{-2y-16}
x=\sqrt{-2y-16}
Solve for x
x=\sqrt{-2y-16}
x=-\sqrt{-2y-16}\text{, }y\leq -8
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2y+16=-x^{2}
Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.
2y=-x^{2}-16
Subtract 16 from both sides.
\frac{2y}{2}=\frac{-x^{2}-16}{2}
Divide both sides by 2.
y=\frac{-x^{2}-16}{2}
Dividing by 2 undoes the multiplication by 2.
y=-\frac{x^{2}}{2}-8
Divide -x^{2}-16 by 2.
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