Solve varepsilon=mvarphi^2

$$\varepsilon = m \varphi ^ { 2 }$$

Solve for m

$$\left\{\begin{matrix}m=\frac{\epsilon }{\phi ^{2}}\text{, }&\phi \neq 0\\m\in \mathrm{R}\text{, }&\epsilon =0\text{ and }\phi =0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$m\phi ^{2}=\epsilon$$

The equation is in standard form.

$$\phi ^{2}m=\epsilon$$

Divide both sides by \phi ^{2}.

$$\frac{\phi ^{2}m}{\phi ^{2}}=\frac{\epsilon }{\phi ^{2}}$$

Dividing by \phi ^{2} undoes the multiplication by \phi ^{2}.

$$m=\frac{\epsilon }{\phi ^{2}}$$

Solve for ε

$$\epsilon =m\phi ^{2}$$