Solve for y
y=\frac{x^{2}-10}{2}
Solve for x (complex solution)
x=-\sqrt{2\left(y+5\right)}
x=\sqrt{2\left(y+5\right)}
Solve for x
x=\sqrt{2\left(y+5\right)}
x=-\sqrt{2\left(y+5\right)}\text{, }y\geq -5
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y\times 2=x^{2}-10
Swap sides so that all variable terms are on the left hand side.
2y=x^{2}-10
The equation is in standard form.
\frac{2y}{2}=\frac{x^{2}-10}{2}
Divide both sides by 2.
y=\frac{x^{2}-10}{2}
Dividing by 2 undoes the multiplication by 2.
y=\frac{x^{2}}{2}-5
Divide x^{2}-10 by 2.
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