Solve for y
y=2x^{2}-1
Solve for x (complex solution)
x=-\frac{\sqrt{2\left(y+1\right)}}{2}
x=\frac{\sqrt{2\left(y+1\right)}}{2}
Solve for x
x=\frac{\sqrt{2\left(y+1\right)}}{2}
x=-\frac{\sqrt{2\left(y+1\right)}}{2}\text{, }y\geq -1
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-2y=2-4x^{2}
Subtract 4x^{2} from both sides.
\frac{-2y}{-2}=\frac{2-4x^{2}}{-2}
Divide both sides by -2.
y=\frac{2-4x^{2}}{-2}
Dividing by -2 undoes the multiplication by -2.
y=2x^{2}-1
Divide 2-4x^{2} by -2.
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