Solve Ls=frac{Q_{50}}{exv}

$$L s = \frac { Q _ { 50 } } { e x v }$$

Solve for L (complex solution)

$$\left\{\begin{matrix}L=\frac{Q_{50}}{esvx}\text{, }&v\neq 0\text{ and }x\neq 0\text{ and }s\neq 0\\L\in \mathrm{C}\text{, }&Q_{50}=0\text{ and }s=0\text{ and }v\neq 0\text{ and }x\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$sL=\frac{Q_{50}}{evx}$$

Divide both sides by s.

$$\frac{sL}{s}=\frac{Q_{50}}{evxs}$$

Dividing by s undoes the multiplication by s.

$$L=\frac{Q_{50}}{evxs}$$

Divide \frac{Q_{50}}{vex} by s.

$$L=\frac{Q_{50}}{esvx}$$

Solve for L

$$\left\{\begin{matrix}L=\frac{Q_{50}}{esvx}\text{, }&v\neq 0\text{ and }x\neq 0\text{ and }s\neq 0\\L\in \mathrm{R}\text{, }&Q_{50}=0\text{ and }s=0\text{ and }v\neq 0\text{ and }x\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$sL=\frac{Q_{50}}{evx}$$

Divide both sides by s.

$$\frac{sL}{s}=\frac{Q_{50}}{evxs}$$

Dividing by s undoes the multiplication by s.

$$L=\frac{Q_{50}}{evxs}$$

Divide \frac{Q_{50}}{exv} by s.

$$L=\frac{Q_{50}}{esvx}$$

Solve for Q_50

$$Q_{50}=eLsvx$$

$$v\neq 0\text{ and }x\neq 0$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$\frac{Q_{50}}{exv}=Ls$$

The equation is in standard form.

$$\frac{1}{evx}Q_{50}=Ls$$

Divide both sides by e^{-1}x^{-1}v^{-1}.

$$\frac{\frac{1}{evx}Q_{50}evx}{1}=\frac{Lsevx}{1}$$

Dividing by e^{-1}x^{-1}v^{-1} undoes the multiplication by e^{-1}x^{-1}v^{-1}.

$$Q_{50}=\frac{Lsevx}{1}$$

Divide Ls by e^{-1}x^{-1}v^{-1}.

$$Q_{50}=eLsvx$$