Solve gmuA=8piE/C4pimu

$$g \mu A = \frac { 8 \pi E } { C 4 } \pi \mu$$

Solve for A

$$\left\{\begin{matrix}A=\frac{8\pi ^{2}E}{C_{4}g}\text{, }&C_{4}\neq 0\text{ and }g\neq 0\\A\in \mathrm{R}\text{, }&\left(\mu =0\text{ and }C_{4}\neq 0\right)\text{ or }\left(E=0\text{ and }g=0\text{ and }C_{4}\neq 0\right)\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by C_{4}.

$$g\mu AC_{4}=8\pi E\pi \mu$$

Multiply \pi and \pi to get \pi ^{2}.

$$g\mu AC_{4}=8\pi ^{2}E\mu$$

The equation is in standard form.

$$C_{4}g\mu A=8\pi ^{2}E\mu$$

Divide both sides by g\mu C_{4}.

$$\frac{C_{4}g\mu A}{C_{4}g\mu }=\frac{8\pi ^{2}E\mu }{C_{4}g\mu }$$

Dividing by g\mu C_{4} undoes the multiplication by g\mu C_{4}.

$$A=\frac{8\pi ^{2}E\mu }{C_{4}g\mu }$$

Divide 8\pi ^{2}E\mu by g\mu C_{4}.

$$A=\frac{8\pi ^{2}E}{C_{4}g}$$

Solve for C_4

$$\left\{\begin{matrix}C_{4}=\frac{8\pi ^{2}E}{Ag}\text{, }&E\neq 0\text{ and }A\neq 0\text{ and }g\neq 0\\C_{4}\neq 0\text{, }&\mu =0\text{ or }\left(g=0\text{ and }E=0\right)\text{ or }\left(A=0\text{ and }E=0\right)\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable C_{4} cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by C_{4}.

$$g\mu AC_{4}=8\pi E\pi \mu$$

Multiply \pi and \pi to get \pi ^{2}.

$$g\mu AC_{4}=8\pi ^{2}E\mu$$

The equation is in standard form.

$$Ag\mu C_{4}=8\pi ^{2}E\mu$$

Divide both sides by g\mu A.

$$\frac{Ag\mu C_{4}}{Ag\mu }=\frac{8\pi ^{2}E\mu }{Ag\mu }$$

Dividing by g\mu A undoes the multiplication by g\mu A.

$$C_{4}=\frac{8\pi ^{2}E\mu }{Ag\mu }$$

Divide 8\pi ^{2}E\mu by g\mu A.

$$C_{4}=\frac{8\pi ^{2}E}{Ag}$$

Variable C_{4} cannot be equal to 0.

$$C_{4}=\frac{8\pi ^{2}E}{Ag}\text{, }C_{4}\neq 0$$