Solve 2ax^2-216=0

$$2 a x ^ { 2 } - 216 = 0$$

Solve for a

$$a=\frac{108}{x^{2}}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Add 216 to both sides. Anything plus zero gives itself.

$$2ax^{2}=216$$

The equation is in standard form.

$$2x^{2}a=216$$

Divide both sides by 2x^{2}.

$$\frac{2x^{2}a}{2x^{2}}=\frac{216}{2x^{2}}$$

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

$$a=\frac{216}{2x^{2}}$$

Divide 216 by 2x^{2}.

$$a=\frac{108}{x^{2}}$$

Solve for x (complex solution)

$$x=-6\sqrt{3}a^{-\frac{1}{2}}$$

$$x=6\sqrt{3}a^{-\frac{1}{2}}\text{, }a\neq 0$$

Solve for x

$$x=6\sqrt{\frac{3}{a}}$$

$$x=-6\sqrt{\frac{3}{a}}\text{, }a>0$$