Solve C=25000+3q*iCu

$$C = 25000 + 3 q \cdot i Cu$$

Solve for C

$$C=\frac{25000}{1-3iqu}$$

$$u=0\text{ or }q\neq \frac{-i}{3u}$$

Steps for Solving Linear Equation

Multiply 3 and i to get 3i.

$$C=25000+3iqCu$$

Subtract 3iqCu from both sides.

$$C-3iqCu=25000$$

Combine all terms containing C.

$$\left(1-3iqu\right)C=25000$$

Divide both sides by 1-3iqu.

$$\frac{\left(1-3iqu\right)C}{1-3iqu}=\frac{25000}{1-3iqu}$$

Dividing by 1-3iqu undoes the multiplication by 1-3iqu.

$$C=\frac{25000}{1-3iqu}$$

Solve for q

$$\left\{\begin{matrix}q=\frac{i\left(25000-C\right)}{3Cu}\text{, }&u\neq 0\text{ and }C\neq 0\\q\in \mathrm{C}\text{, }&C=25000\text{ and }u=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 3 and i to get 3i.

$$C=25000+3iqCu$$

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

$$25000+3iqCu=C$$

Subtract 25000 from both sides.

$$3iqCu=C-25000$$

The equation is in standard form.

$$3iCuq=C-25000$$

Divide both sides by 3iCu.

$$\frac{3iCuq}{3iCu}=\frac{C-25000}{3iCu}$$

Dividing by 3iCu undoes the multiplication by 3iCu.

$$q=\frac{C-25000}{3iCu}$$

Divide C-25000 by 3iCu.

$$q=-\frac{i\left(C-25000\right)}{3Cu}$$