Solve operatorname{gx}x=1

$$\operatorname { gx } x = 1$$

Solve for g

$$g=\frac{1}{x^{2}}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply x and x to get x^{2}.

$$gx^{2}=1$$

The equation is in standard form.

$$x^{2}g=1$$

Divide both sides by x^{2}.

$$\frac{x^{2}g}{x^{2}}=\frac{1}{x^{2}}$$

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

$$g=\frac{1}{x^{2}}$$

Solve for x (complex solution)

$$x=-g^{-\frac{1}{2}}$$

$$x=g^{-\frac{1}{2}}\text{, }g\neq 0$$

Solve for x

$$x=\frac{1}{\sqrt{g}}$$

$$x=-\frac{1}{\sqrt{g}}\text{, }g>0$$