Solve ax^2+3=0

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

Solve for a

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

$$x\neq 0$$

Steps for Solving Linear Equation

Subtract 3 from both sides. Anything subtracted from zero gives its negation.

$$ax^{2}=-3$$

The equation is in standard form.

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

Divide both sides by x^{2}.

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

Dividing by x^{2} undoes the multiplication by x^{2}.

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

Solve for x (complex solution)

$$x=-\sqrt{3}ia^{-\frac{1}{2}}$$

$$x=\sqrt{3}ia^{-\frac{1}{2}}\text{, }a\neq 0$$

Solve for x

$$x=\sqrt{-\frac{3}{a}}$$

$$x=-\sqrt{-\frac{3}{a}}\text{, }a<0$$