Solve x^2+3b=0

$$x ^ { 2 } + 3 b = 0$$

Solve for b

$$b=-\frac{x^{2}}{3}$$

Steps for Solving Linear Equation

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

$$3b=-x^{2}$$

Divide both sides by 3.

$$\frac{3b}{3}=-\frac{x^{2}}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$b=-\frac{x^{2}}{3}$$

Solve for x (complex solution)

$$x=-i\sqrt{3b}$$

$$x=i\sqrt{3b}$$

Solve for x

$$x=\sqrt{-3b}$$

$$x=-\sqrt{-3b}\text{, }b\leq 0$$