Solve W/ng=x

$$\frac{ W }{ ng } = x$$

Solve for W

$$W=gnx$$

$$n\neq 0\text{ and }g\neq 0$$

Solution Steps

Multiply both sides of the equation by gn.

$$W=xgn$$

Reorder the terms.

$$W=gnx$$

Solve for g

$$\left\{\begin{matrix}g=\frac{W}{nx}\text{, }&W\neq 0\text{ and }n\neq 0\text{ and }x\neq 0\\g\neq 0\text{, }&x=0\text{ and }W=0\text{ and }n\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable g cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by gn.

$$W=xgn$$

Swap sides so that all variable terms are on the left hand side.

$$xgn=W$$

The equation is in standard form.

$$nxg=W$$

Divide both sides by xn.

$$\frac{nxg}{nx}=\frac{W}{nx}$$

Dividing by xn undoes the multiplication by xn.

$$g=\frac{W}{nx}$$

Variable g cannot be equal to 0.

$$g=\frac{W}{nx}\text{, }g\neq 0$$