Solve B=frac{3(x_{1}-x_{2})}{m}

$$B = \frac { 3 ( x _ { 1 } - x _ { 2 } ) } { m }$$

Solve for m

$$\left\{\begin{matrix}m=\frac{3\left(x_{1}-x_{2}\right)}{B}\text{, }&x_{1}\neq x_{2}\text{ and }B\neq 0\\m\neq 0\text{, }&B=0\text{ and }x_{1}=x_{2}\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$Bm=3\left(x_{1}-x_{2}\right)$$

Use the distributive property to multiply 3 by x_{1}-x_{2}.

$$Bm=3x_{1}-3x_{2}$$

Divide both sides by B.

$$\frac{Bm}{B}=\frac{3x_{1}-3x_{2}}{B}$$

Dividing by B undoes the multiplication by B.

$$m=\frac{3x_{1}-3x_{2}}{B}$$

Divide 3x_{1}-3x_{2} by B.

$$m=\frac{3\left(x_{1}-x_{2}\right)}{B}$$

Variable m cannot be equal to 0.

$$m=\frac{3\left(x_{1}-x_{2}\right)}{B}\text{, }m\neq 0$$

Solve for B

$$B=-\frac{3\left(x_{2}-x_{1}\right)}{m}$$

$$m\neq 0$$