Solve for y
y=-\frac{x^{2}}{2}-\frac{7}{4}
Solve for x (complex solution)
x=-\frac{\sqrt{-8y-14}}{2}
x=\frac{\sqrt{-8y-14}}{2}
Solve for x
x=\frac{\sqrt{-8y-14}}{2}
x=-\frac{\sqrt{-8y-14}}{2}\text{, }y\leq -\frac{7}{4}
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4y+7=-2x^{2}
Subtract 2x^{2} from both sides. Anything subtracted from zero gives its negation.
4y=-2x^{2}-7
Subtract 7 from both sides.
\frac{4y}{4}=\frac{-2x^{2}-7}{4}
Divide both sides by 4.
y=\frac{-2x^{2}-7}{4}
Dividing by 4 undoes the multiplication by 4.
y=-\frac{x^{2}}{2}-\frac{7}{4}
Divide -2x^{2}-7 by 4.
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