Solve 4m=cm

$$4 m = c m$$

Solve for c

$$\left\{\begin{matrix}\\c=4\text{, }&\text{unconditionally}\\c\in \mathrm{R}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$cm=4m$$

The equation is in standard form.

$$mc=4m$$

Divide both sides by m.

$$\frac{mc}{m}=\frac{4m}{m}$$

Dividing by m undoes the multiplication by m.

$$c=\frac{4m}{m}$$

Divide 4m by m.

$$c=4$$

Solve for m

$$\left\{\begin{matrix}\\m=0\text{, }&\text{unconditionally}\\m\in \mathrm{R}\text{, }&c=4\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract cm from both sides.

$$4m-cm=0$$

Combine all terms containing m.

$$\left(4-c\right)m=0$$

Divide 0 by 4-c.

$$m=0$$