Resolver varepsilon_{c}=mc^2

$$\varepsilon _ { c } = m c ^ { 2 }$$

Resolver m

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

Pasos para resolver unha ecuación lineal

Cambia de lado para que todos os termos variables estean no lado esquerdo.

$$mc^{2}=\epsilon _{c}$$

A ecuación está en forma estándar.

$$c^{2}m=\epsilon _{c}$$

Divide ambos lados entre c^{2}.

$$\frac{c^{2}m}{c^{2}}=\frac{\epsilon _{c}}{c^{2}}$$

A división entre c^{2} desfai a multiplicación por c^{2}.

$$m=\frac{\epsilon _{c}}{c^{2}}$$

Resolver c

$$\left\{\begin{matrix}c=\sqrt{\frac{\epsilon _{c}}{m}}\text{; }c=-\sqrt{\frac{\epsilon _{c}}{m}}\text{, }&\left(\epsilon _{c}\geq 0\text{ and }m>0\right)\text{ or }\left(\epsilon _{c}\leq 0\text{ and }m<0\right)\\c\in \mathrm{R}\text{, }&\epsilon _{c}=0\text{ and }m=0\end{matrix}\right.$$