Solve h=mgh

$$h = m g h$$

Solve for g

$$\left\{\begin{matrix}g=\frac{1}{m}\text{, }&m\neq 0\\g\in \mathrm{R}\text{, }&h=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$mgh=h$$

The equation is in standard form.

$$hmg=h$$

Divide both sides by mh.

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

Dividing by mh undoes the multiplication by mh.

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

Divide h by mh.

$$g=\frac{1}{m}$$

Solve for h

$$\left\{\begin{matrix}\\h=0\text{, }&\text{unconditionally}\\h\in \mathrm{R}\text{, }&m=\frac{1}{g}\text{ and }g\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract mgh from both sides.

$$h-mgh=0$$

Reorder the terms.

$$-ghm+h=0$$

Combine all terms containing h.

$$\left(-gm+1\right)h=0$$

The equation is in standard form.

$$\left(1-gm\right)h=0$$

Divide 0 by 1-mg.

$$h=0$$