Solve h=R/mg

$$h = \frac { R } { m g }$$

Solve for R

$$R=ghm$$

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

Solution Steps

Multiply both sides of the equation by gm.

$$hgm=R$$

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

$$R=hgm$$

Solve for g

$$\left\{\begin{matrix}g=\frac{R}{hm}\text{, }&R\neq 0\text{ and }m\neq 0\text{ and }h\neq 0\\g\neq 0\text{, }&h=0\text{ and }R=0\text{ and }m\neq 0\end{matrix}\right.$$

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 gm.

$$hgm=R$$

Reorder the terms.

$$ghm=R$$

The equation is in standard form.

$$hmg=R$$

Divide both sides by hm.

$$\frac{hmg}{hm}=\frac{R}{hm}$$

Dividing by hm undoes the multiplication by hm.

$$g=\frac{R}{hm}$$

Variable g cannot be equal to 0.

$$g=\frac{R}{hm}\text{, }g\neq 0$$