Solve -2v/R+4piR=0

$$- \frac { 2 v } { R } + 4 \pi R = 0$$

Solve for v

$$v=2\pi R^{2}$$

$$R\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by R.

$$-2v+4\pi RR=0$$

Multiply R and R to get R^{2}.

$$-2v+4\pi R^{2}=0$$

Subtract 4\pi R^{2} from both sides. Anything subtracted from zero gives its negation.

$$-2v=-4\pi R^{2}$$

Divide both sides by -2.

$$\frac{-2v}{-2}=-\frac{4\pi R^{2}}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$v=-\frac{4\pi R^{2}}{-2}$$

Divide -4\pi R^{2} by -2.

$$v=2\pi R^{2}$$

Solve for R (complex solution)

$$R=-\frac{\sqrt{\frac{2v}{\pi }}}{2}$$

$$R=\frac{\sqrt{\frac{2v}{\pi }}}{2}\text{, }v\neq 0$$

Solve for R

$$R=\frac{\sqrt{\frac{2v}{\pi }}}{2}$$

$$R=-\frac{\sqrt{\frac{2v}{\pi }}}{2}\text{, }v>0$$