Solve for y (complex solution)
\left\{\begin{matrix}\\y=-\frac{x}{2}\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=0\end{matrix}\right.
Solve for y
\left\{\begin{matrix}\\y=-\frac{x}{2}\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
Solve for x
x=-2y
x=0
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2xy=-x^{2}
Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.
\frac{2xy}{2x}=-\frac{x^{2}}{2x}
Divide both sides by 2x.
y=-\frac{x^{2}}{2x}
Dividing by 2x undoes the multiplication by 2x.
y=-\frac{x}{2}
Divide -x^{2} by 2x.
2xy=-x^{2}
Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.
\frac{2xy}{2x}=-\frac{x^{2}}{2x}
Divide both sides by 2x.
y=-\frac{x^{2}}{2x}
Dividing by 2x undoes the multiplication by 2x.
y=-\frac{x}{2}
Divide -x^{2} by 2x.
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