Solve r=asqrt{231θ}

$$r = a \sqrt { 231 \theta }$$

Solve for a (complex solution)

$$\left\{\begin{matrix}a=\frac{\sqrt{231}\theta ^{-\frac{1}{2}}r}{231}\text{, }&\theta \neq 0\\a\in \mathrm{C}\text{, }&r=0\text{ and }\theta =0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$a\sqrt{231\theta }=r$$

The equation is in standard form.

$$\sqrt{231\theta }a=r$$

Divide both sides by \sqrt{231\theta }.

$$\frac{\sqrt{231\theta }a}{\sqrt{231\theta }}=\frac{r}{\sqrt{231\theta }}$$

Dividing by \sqrt{231\theta } undoes the multiplication by \sqrt{231\theta }.

$$a=\frac{r}{\sqrt{231\theta }}$$

Divide r by \sqrt{231\theta }.

$$a=\left(231\theta \right)^{-\frac{1}{2}}r$$

Solve for a

$$\left\{\begin{matrix}a=\frac{\sqrt{\frac{231}{\theta }}r}{231}\text{, }&\theta >0\\a\in \mathrm{R}\text{, }&\theta =0\text{ and }r=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$a\sqrt{231\theta }=r$$

The equation is in standard form.

$$\sqrt{231\theta }a=r$$

Divide both sides by \sqrt{231\theta }.

$$\frac{\sqrt{231\theta }a}{\sqrt{231\theta }}=\frac{r}{\sqrt{231\theta }}$$

Dividing by \sqrt{231\theta } undoes the multiplication by \sqrt{231\theta }.

$$a=\frac{r}{\sqrt{231\theta }}$$

Solve for r (complex solution)

$$r=\sqrt{231\theta }a$$

Solve for r

$$r=\sqrt{231\theta }a$$

$$\theta \geq 0$$