Solve rm/c=p_{k}b

$$\frac { r m } { c } = p _ { k } b$$

Solve for b (complex solution)

$$\left\{\begin{matrix}b=\frac{mr}{cp_{k}}\text{, }&p_{k}\neq 0\text{ and }c\neq 0\\b\in \mathrm{C}\text{, }&\left(m=0\text{ or }r=0\right)\text{ and }p_{k}=0\text{ and }c\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by c.

$$rm=p_{k}bc$$

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

$$p_{k}bc=rm$$

The equation is in standard form.

$$cp_{k}b=mr$$

Divide both sides by p_{k}c.

$$\frac{cp_{k}b}{cp_{k}}=\frac{mr}{cp_{k}}$$

Dividing by p_{k}c undoes the multiplication by p_{k}c.

$$b=\frac{mr}{cp_{k}}$$

Solve for b

$$\left\{\begin{matrix}b=\frac{mr}{cp_{k}}\text{, }&p_{k}\neq 0\text{ and }c\neq 0\\b\in \mathrm{R}\text{, }&\left(m=0\text{ or }r=0\right)\text{ and }p_{k}=0\text{ and }c\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by c.

$$rm=p_{k}bc$$

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

$$p_{k}bc=rm$$

The equation is in standard form.

$$cp_{k}b=mr$$

Divide both sides by p_{k}c.

$$\frac{cp_{k}b}{cp_{k}}=\frac{mr}{cp_{k}}$$

Dividing by p_{k}c undoes the multiplication by p_{k}c.

$$b=\frac{mr}{cp_{k}}$$

Solve for c

$$\left\{\begin{matrix}c=\frac{mr}{bp_{k}}\text{, }&m\neq 0\text{ and }r\neq 0\text{ and }b\neq 0\text{ and }p_{k}\neq 0\\c\neq 0\text{, }&\left(p_{k}=0\text{ and }m=0\right)\text{ or }\left(b=0\text{ and }m=0\right)\text{ or }\left(b=0\text{ and }r=0\text{ and }m\neq 0\right)\text{ or }\left(p_{k}=0\text{ and }r=0\text{ and }m\neq 0\right)\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$rm=p_{k}bc$$

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

$$p_{k}bc=rm$$

The equation is in standard form.

$$bp_{k}c=mr$$

Divide both sides by p_{k}b.

$$\frac{bp_{k}c}{bp_{k}}=\frac{mr}{bp_{k}}$$

Dividing by p_{k}b undoes the multiplication by p_{k}b.

$$c=\frac{mr}{bp_{k}}$$

Variable c cannot be equal to 0.

$$c=\frac{mr}{bp_{k}}\text{, }c\neq 0$$