Solve x^2-y=y

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

Solve for y

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

Steps for Solving Linear Equation

Subtract y from both sides.

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

Combine -y and -y to get -2y.

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

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

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

Divide both sides by -2.

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

Dividing by -2 undoes the multiplication by -2.

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

Divide -x^{2} by -2.

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

Solve for x (complex solution)

$$x=-\sqrt{2y}$$

$$x=\sqrt{2y}$$

Solve for x

$$x=\sqrt{2y}$$

$$x=-\sqrt{2y}\text{, }y\geq 0$$