Solve for y
y=x^{2}-2
Solve for x (complex solution)
x=-\sqrt{y+2}
x=\sqrt{y+2}
Solve for x
x=\sqrt{y+2}
x=-\sqrt{y+2}\text{, }y\geq -2
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2y=8x^{2}-4-6x^{2}
Subtract 6x^{2} from both sides.
2y=2x^{2}-4
Combine 8x^{2} and -6x^{2} to get 2x^{2}.
\frac{2y}{2}=\frac{2x^{2}-4}{2}
Divide both sides by 2.
y=\frac{2x^{2}-4}{2}
Dividing by 2 undoes the multiplication by 2.
y=x^{2}-2
Divide 2x^{2}-4 by 2.
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