Solve Bqv=mv^2/R

$$B q v = m \frac { v ^ { 2 } } { R }$$

Solve for B

$$\left\{\begin{matrix}B=\frac{mv}{Rq}\text{, }&R\neq 0\text{ and }q\neq 0\\B\in \mathrm{R}\text{, }&\left(m=0\text{ and }q=0\text{ and }R\neq 0\right)\text{ or }\left(v=0\text{ and }R\neq 0\right)\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by R.

$$BqvR=mv^{2}$$

The equation is in standard form.

$$RqvB=mv^{2}$$

Divide both sides by qvR.

$$\frac{RqvB}{Rqv}=\frac{mv^{2}}{Rqv}$$

Dividing by qvR undoes the multiplication by qvR.

$$B=\frac{mv^{2}}{Rqv}$$

Divide mv^{2} by qvR.

$$B=\frac{mv}{Rq}$$

Solve for R

$$\left\{\begin{matrix}R=\frac{mv}{Bq}\text{, }&v\neq 0\text{ and }m\neq 0\text{ and }q\neq 0\text{ and }B\neq 0\\R\neq 0\text{, }&v=0\text{ or }\left(q=0\text{ and }m=0\text{ and }v\neq 0\right)\text{ or }\left(B=0\text{ and }m=0\text{ and }v\neq 0\right)\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable R cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by R.

$$BqvR=mv^{2}$$

Divide both sides by Bqv.

$$\frac{BqvR}{Bqv}=\frac{mv^{2}}{Bqv}$$

Dividing by Bqv undoes the multiplication by Bqv.

$$R=\frac{mv^{2}}{Bqv}$$

Divide mv^{2} by Bqv.

$$R=\frac{mv}{Bq}$$

Variable R cannot be equal to 0.

$$R=\frac{mv}{Bq}\text{, }R\neq 0$$