Solve 2pir=120cm

$$2 \pi r = 120 cm$$

Solve for c (complex solution)

$$\left\{\begin{matrix}c=\frac{\pi r}{60m}\text{, }&m\neq 0\\c\in \mathrm{C}\text{, }&r=0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$120cm=2\pi r$$

The equation is in standard form.

$$120mc=2\pi r$$

Divide both sides by 120m.

$$\frac{120mc}{120m}=\frac{2\pi r}{120m}$$

Dividing by 120m undoes the multiplication by 120m.

$$c=\frac{2\pi r}{120m}$$

Divide 2\pi r by 120m.

$$c=\frac{\pi r}{60m}$$

Solve for m (complex solution)

$$\left\{\begin{matrix}m=\frac{\pi r}{60c}\text{, }&c\neq 0\\m\in \mathrm{C}\text{, }&r=0\text{ and }c=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$120cm=2\pi r$$

Divide both sides by 120c.

$$\frac{120cm}{120c}=\frac{2\pi r}{120c}$$

Dividing by 120c undoes the multiplication by 120c.

$$m=\frac{2\pi r}{120c}$$

Divide 2\pi r by 120c.

$$m=\frac{\pi r}{60c}$$

Solve for c

$$\left\{\begin{matrix}c=\frac{\pi r}{60m}\text{, }&m\neq 0\\c\in \mathrm{R}\text{, }&r=0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$120cm=2\pi r$$

The equation is in standard form.

$$120mc=2\pi r$$

Divide both sides by 120m.

$$\frac{120mc}{120m}=\frac{2\pi r}{120m}$$

Dividing by 120m undoes the multiplication by 120m.

$$c=\frac{2\pi r}{120m}$$

Divide 2\pi r by 120m.

$$c=\frac{\pi r}{60m}$$

Solve for m

$$\left\{\begin{matrix}m=\frac{\pi r}{60c}\text{, }&c\neq 0\\m\in \mathrm{R}\text{, }&r=0\text{ and }c=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$120cm=2\pi r$$

Divide both sides by 120c.

$$\frac{120cm}{120c}=\frac{2\pi r}{120c}$$

Dividing by 120c undoes the multiplication by 120c.

$$m=\frac{2\pi r}{120c}$$

Divide 2\pi r by 120c.

$$m=\frac{\pi r}{60c}$$