Solve L=2muv/ab

$$L = \frac { 2 \mu v } { a b }$$

Solve for a

$$\left\{\begin{matrix}a=\frac{2v\mu }{Lb}\text{, }&v\neq 0\text{ and }\mu \neq 0\text{ and }b\neq 0\text{ and }L\neq 0\\a\neq 0\text{, }&\left(v=0\text{ or }\mu =0\right)\text{ and }L=0\text{ and }b\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$Lab=2\mu v$$

Reorder the terms.

$$Lab=2v\mu$$

The equation is in standard form.

$$Lba=2v\mu$$

Divide both sides by Lb.

$$\frac{Lba}{Lb}=\frac{2v\mu }{Lb}$$

Dividing by Lb undoes the multiplication by Lb.

$$a=\frac{2v\mu }{Lb}$$

Variable a cannot be equal to 0.

$$a=\frac{2v\mu }{Lb}\text{, }a\neq 0$$

Solve for L

$$L=\frac{2v\mu }{ab}$$

$$b\neq 0\text{ and }a\neq 0$$