Solve x^2+5y=0

$$x ^ { 2 } + 5 y = 0$$

Solve for y

$$y=-\frac{x^{2}}{5}$$

Steps for Solving Linear Equation

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

$$5y=-x^{2}$$

Divide both sides by 5.

$$\frac{5y}{5}=-\frac{x^{2}}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$y=-\frac{x^{2}}{5}$$

Solve for x (complex solution)

$$x=-i\sqrt{5y}$$

$$x=i\sqrt{5y}$$

Solve for x

$$x=\sqrt{-5y}$$

$$x=-\sqrt{-5y}\text{, }y\leq 0$$