Solve muq=UR*3

$$\mu q = U R \cdot 3$$

Solve for R (complex solution)

$$\left\{\begin{matrix}R=\frac{q\mu }{3U}\text{, }&U\neq 0\\R\in \mathrm{C}\text{, }&\left(\mu =0\text{ or }q=0\right)\text{ and }U=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$UR\times 3=\mu q$$

The equation is in standard form.

$$3UR=q\mu$$

Divide both sides by 3U.

$$\frac{3UR}{3U}=\frac{q\mu }{3U}$$

Dividing by 3U undoes the multiplication by 3U.

$$R=\frac{q\mu }{3U}$$

Solve for U (complex solution)

$$\left\{\begin{matrix}U=\frac{q\mu }{3R}\text{, }&R\neq 0\\U\in \mathrm{C}\text{, }&\left(\mu =0\text{ or }q=0\right)\text{ and }R=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$UR\times 3=\mu q$$

The equation is in standard form.

$$3RU=q\mu$$

Divide both sides by 3R.

$$\frac{3RU}{3R}=\frac{q\mu }{3R}$$

Dividing by 3R undoes the multiplication by 3R.

$$U=\frac{q\mu }{3R}$$

Solve for R

$$\left\{\begin{matrix}R=\frac{q\mu }{3U}\text{, }&U\neq 0\\R\in \mathrm{R}\text{, }&\left(\mu =0\text{ or }q=0\right)\text{ and }U=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$UR\times 3=\mu q$$

The equation is in standard form.

$$3UR=q\mu$$

Divide both sides by 3U.

$$\frac{3UR}{3U}=\frac{q\mu }{3U}$$

Dividing by 3U undoes the multiplication by 3U.

$$R=\frac{q\mu }{3U}$$

Solve for U

$$\left\{\begin{matrix}U=\frac{q\mu }{3R}\text{, }&R\neq 0\\U\in \mathrm{R}\text{, }&\left(\mu =0\text{ or }q=0\right)\text{ and }R=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$UR\times 3=\mu q$$

The equation is in standard form.

$$3RU=q\mu$$

Divide both sides by 3R.

$$\frac{3RU}{3R}=\frac{q\mu }{3R}$$

Dividing by 3R undoes the multiplication by 3R.

$$U=\frac{q\mu }{3R}$$