Solve 4x^2+3y=0

$$4 x ^ { 2 } + 3 y = 0$$

Solve for y

$$y=-\frac{4x^{2}}{3}$$

Steps for Solving Linear Equation

Subtract 4x^{2} from both sides. Anything subtracted from zero gives its negation.

$$3y=-4x^{2}$$

Divide both sides by 3.

$$\frac{3y}{3}=-\frac{4x^{2}}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$y=-\frac{4x^{2}}{3}$$

Solve for x (complex solution)

$$x=-\frac{i\sqrt{3y}}{2}$$

$$x=\frac{i\sqrt{3y}}{2}$$

Solve for x

$$x=\frac{\sqrt{-3y}}{2}$$

$$x=-\frac{\sqrt{-3y}}{2}\text{, }y\leq 0$$