Solve rho=aθ

$$\rho = a \theta$$

Solve for a (complex solution)

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

Steps for Solving Linear Equation

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

$$a\theta =\rho$$

The equation is in standard form.

$$\theta a=\rho$$

Divide both sides by \theta .

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

Dividing by \theta undoes the multiplication by \theta .

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

Solve for θ (complex solution)

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

Steps for Solving Linear Equation

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

$$a\theta =\rho$$

Divide both sides by a.

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

Dividing by a undoes the multiplication by a.

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

Solve for a

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

Steps for Solving Linear Equation

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

$$a\theta =\rho$$

The equation is in standard form.

$$\theta a=\rho$$

Divide both sides by \theta .

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

Dividing by \theta undoes the multiplication by \theta .

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

Solve for θ

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

Steps for Solving Linear Equation

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

$$a\theta =\rho$$

Divide both sides by a.

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

Dividing by a undoes the multiplication by a.

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