Solve g_{3}x^2=-8

$$g _ { 3 } x ^ { 2 } = - 8$$

Solve for g_3

$$g_{3}=-\frac{8}{x^{2}}$$

$$x\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$x^{2}g_{3}=-8$$

Divide both sides by x^{2}.

$$\frac{x^{2}g_{3}}{x^{2}}=-\frac{8}{x^{2}}$$

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

$$g_{3}=-\frac{8}{x^{2}}$$

Solve for x (complex solution)

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

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

Solve for x

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

$$x=-2\sqrt{-\frac{2}{g_{3}}}\text{, }g_{3}<0$$