Solve for y
y=-\frac{x^{2}}{3}+\frac{1}{2}
Solve for x (complex solution)
x=-\frac{\sqrt{6-12y}}{2}
x=\frac{\sqrt{6-12y}}{2}
Solve for x
x=\frac{\sqrt{6-12y}}{2}
x=-\frac{\sqrt{6-12y}}{2}\text{, }y\leq \frac{1}{2}
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2y=1-\frac{2}{3}x^{2}
Subtract \frac{2}{3}x^{2} from both sides.
2y=-\frac{2x^{2}}{3}+1
The equation is in standard form.
\frac{2y}{2}=\frac{-\frac{2x^{2}}{3}+1}{2}
Divide both sides by 2.
y=\frac{-\frac{2x^{2}}{3}+1}{2}
Dividing by 2 undoes the multiplication by 2.
y=-\frac{x^{2}}{3}+\frac{1}{2}
Divide 1-\frac{2x^{2}}{3} by 2.
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