Solve 1u=931.5MeV/c^2

$$1 u = \frac { 931.5 MeV } { c ^ { 2 } }$$

Solve for M

$$\left\{\begin{matrix}M=\frac{2uc^{2}}{1863eV}\text{, }&V\neq 0\text{ and }c\neq 0\\M\in \mathrm{R}\text{, }&u=0\text{ and }V=0\text{ and }c\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by c^{2}.

$$1uc^{2}=931.5MeV$$

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

$$931.5MeV=1uc^{2}$$

Reorder the terms.

$$931.5eMV=uc^{2}$$

The equation is in standard form.

$$\frac{1863eV}{2}M=uc^{2}$$

Divide both sides by 931.5eV.

$$\frac{2\times \frac{1863eV}{2}M}{1863eV}=\frac{2uc^{2}}{1863eV}$$

Dividing by 931.5eV undoes the multiplication by 931.5eV.

$$M=\frac{2uc^{2}}{1863eV}$$

Solve for V

$$\left\{\begin{matrix}V=\frac{2uc^{2}}{1863eM}\text{, }&M\neq 0\text{ and }c\neq 0\\V\in \mathrm{R}\text{, }&u=0\text{ and }M=0\text{ and }c\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by c^{2}.

$$1uc^{2}=931.5MeV$$

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

$$931.5MeV=1uc^{2}$$

Reorder the terms.

$$931.5eMV=uc^{2}$$

The equation is in standard form.

$$\frac{1863eM}{2}V=uc^{2}$$

Divide both sides by 931.5Me.

$$\frac{2\times \frac{1863eM}{2}V}{1863eM}=\frac{2uc^{2}}{1863eM}$$

Dividing by 931.5Me undoes the multiplication by 931.5Me.

$$V=\frac{2uc^{2}}{1863eM}$$