Solve for y
y=\frac{x^{2}-8}{2}
Solve for x (complex solution)
x=-\sqrt{2\left(y+4\right)}
x=\sqrt{2\left(y+4\right)}
Solve for x
x=\sqrt{2\left(y+4\right)}
x=-\sqrt{2\left(y+4\right)}\text{, }y\geq -4
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-4y=16-2x^{2}
Subtract 2x^{2} from both sides.
\frac{-4y}{-4}=\frac{16-2x^{2}}{-4}
Divide both sides by -4.
y=\frac{16-2x^{2}}{-4}
Dividing by -4 undoes the multiplication by -4.
y=\frac{x^{2}}{2}-4
Divide 16-2x^{2} by -4.
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