Solve q/4piepsilon_{0r}=V

$$\frac { q } { 4 \pi \epsilon _ { 0 } r } = V$$

Solve for q

$$q=4\pi Vrϵ_{0}$$

$$r\neq 0\text{ and }ϵ_{0}\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\frac{1}{4\pi rϵ_{0}}q=V$$

Divide both sides by \frac{1}{4}\pi ^{-1}ϵ_{0}^{-1}r^{-1}.

$$\frac{\frac{1}{4\pi rϵ_{0}}q\times 4\pi rϵ_{0}}{1}=\frac{V\times 4\pi rϵ_{0}}{1}$$

Dividing by \frac{1}{4}\pi ^{-1}ϵ_{0}^{-1}r^{-1} undoes the multiplication by \frac{1}{4}\pi ^{-1}ϵ_{0}^{-1}r^{-1}.

$$q=\frac{V\times 4\pi rϵ_{0}}{1}$$

Divide V by \frac{1}{4}\pi ^{-1}ϵ_{0}^{-1}r^{-1}.

$$q=4\pi Vrϵ_{0}$$

Solve for V

$$V=\frac{q}{4\pi rϵ_{0}}$$

$$ϵ_{0}\neq 0\text{ and }r\neq 0$$