Solve y=2pi*fL

$$y = 2 \pi \cdot f L$$

Solve for L (complex solution)

$$\left\{\begin{matrix}L=\frac{y}{2\pi f}\text{, }&f\neq 0\\L\in \mathrm{C}\text{, }&y=0\text{ and }f=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$2\pi fL=y$$

Divide both sides by 2\pi f.

$$\frac{2\pi fL}{2\pi f}=\frac{y}{2\pi f}$$

Dividing by 2\pi f undoes the multiplication by 2\pi f.

$$L=\frac{y}{2\pi f}$$

Solve for f (complex solution)

$$\left\{\begin{matrix}f=\frac{y}{2\pi L}\text{, }&L\neq 0\\f\in \mathrm{C}\text{, }&y=0\text{ and }L=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$2\pi fL=y$$

The equation is in standard form.

$$2\pi Lf=y$$

Divide both sides by 2\pi L.

$$\frac{2\pi Lf}{2\pi L}=\frac{y}{2\pi L}$$

Dividing by 2\pi L undoes the multiplication by 2\pi L.

$$f=\frac{y}{2\pi L}$$

Solve for L

$$\left\{\begin{matrix}L=\frac{y}{2\pi f}\text{, }&f\neq 0\\L\in \mathrm{R}\text{, }&y=0\text{ and }f=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$2\pi fL=y$$

Divide both sides by 2\pi f.

$$\frac{2\pi fL}{2\pi f}=\frac{y}{2\pi f}$$

Dividing by 2\pi f undoes the multiplication by 2\pi f.

$$L=\frac{y}{2\pi f}$$

Solve for f

$$\left\{\begin{matrix}f=\frac{y}{2\pi L}\text{, }&L\neq 0\\f\in \mathrm{R}\text{, }&y=0\text{ and }L=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$2\pi fL=y$$

The equation is in standard form.

$$2\pi Lf=y$$

Divide both sides by 2\pi L.

$$\frac{2\pi Lf}{2\pi L}=\frac{y}{2\pi L}$$

Dividing by 2\pi L undoes the multiplication by 2\pi L.

$$f=\frac{y}{2\pi L}$$