Solve x^2-xy=0

$${ x }^{ 2 } -xy=0$$

Solve for y (complex solution)

$$\left\{\begin{matrix}\\y=x\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.

$$-xy=-x^{2}$$

Cancel out -1 on both sides.

$$xy=x^{2}$$

Divide both sides by x.

$$\frac{xy}{x}=\frac{x^{2}}{x}$$

Dividing by x undoes the multiplication by x.

$$y=\frac{x^{2}}{x}$$

Divide x^{2} by x.

$$y=x$$

Solve for y

$$\left\{\begin{matrix}\\y=x\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.

$$-xy=-x^{2}$$

Cancel out -1 on both sides.

$$xy=x^{2}$$

Divide both sides by x.

$$\frac{xy}{x}=\frac{x^{2}}{x}$$

Dividing by x undoes the multiplication by x.

$$y=\frac{x^{2}}{x}$$

Divide x^{2} by x.

$$y=x$$

Solve for x

$$x=y$$

$$x=0$$