Solve f=aθ

$$f = a \theta$$

Solve for a (complex solution)

$$\left\{\begin{matrix}a=\frac{f}{\theta }\text{, }&\theta \neq 0\\a\in \mathrm{C}\text{, }&f=0\text{ and }\theta =0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$a\theta =f$$

The equation is in standard form.

$$\theta a=f$$

Divide both sides by \theta .

$$\frac{\theta a}{\theta }=\frac{f}{\theta }$$

Dividing by \theta undoes the multiplication by \theta .

$$a=\frac{f}{\theta }$$

Solve for a

$$\left\{\begin{matrix}a=\frac{f}{\theta }\text{, }&\theta \neq 0\\a\in \mathrm{R}\text{, }&f=0\text{ and }\theta =0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$a\theta =f$$

The equation is in standard form.

$$\theta a=f$$

Divide both sides by \theta .

$$\frac{\theta a}{\theta }=\frac{f}{\theta }$$

Dividing by \theta undoes the multiplication by \theta .

$$a=\frac{f}{\theta }$$

Solve for f

$$f=a\theta$$