Solve E=mvarepsilon^2

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

Solve for m

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

Steps for Solving Linear Equation

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

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

The equation is in standard form.

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

Divide both sides by \epsilon ^{2}.

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

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

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

Solve for E

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