Solve muC=mu*cquad4Q

$$\mu C = \mu \cdot c \quad 4 Q$$

Solve for C (complex solution)

$$\left\{\begin{matrix}\\C=Qc_{4}\text{, }&\text{unconditionally}\\C\in \mathrm{C}\text{, }&\mu =0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\mu C=Qc_{4}\mu$$

Divide both sides by \mu .

$$\frac{\mu C}{\mu }=\frac{Qc_{4}\mu }{\mu }$$

Dividing by \mu undoes the multiplication by \mu .

$$C=\frac{Qc_{4}\mu }{\mu }$$

Divide \mu c_{4}Q by \mu .

$$C=Qc_{4}$$

Solve for Q (complex solution)

$$\left\{\begin{matrix}Q=\frac{C}{c_{4}}\text{, }&c_{4}\neq 0\\Q\in \mathrm{C}\text{, }&\left(C=0\text{ and }c_{4}=0\right)\text{ or }\mu =0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$\mu c_{4}Q=\mu C$$

The equation is in standard form.

$$c_{4}\mu Q=C\mu$$

Divide both sides by \mu c_{4}.

$$\frac{c_{4}\mu Q}{c_{4}\mu }=\frac{C\mu }{c_{4}\mu }$$

Dividing by \mu c_{4} undoes the multiplication by \mu c_{4}.

$$Q=\frac{C\mu }{c_{4}\mu }$$

Divide \mu C by \mu c_{4}.

$$Q=\frac{C}{c_{4}}$$

Solve for C

$$\left\{\begin{matrix}\\C=Qc_{4}\text{, }&\text{unconditionally}\\C\in \mathrm{R}\text{, }&\mu =0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\mu C=Qc_{4}\mu$$

Divide both sides by \mu .

$$\frac{\mu C}{\mu }=\frac{Qc_{4}\mu }{\mu }$$

Dividing by \mu undoes the multiplication by \mu .

$$C=\frac{Qc_{4}\mu }{\mu }$$

Divide \mu c_{4}Q by \mu .

$$C=Qc_{4}$$

Solve for Q

$$\left\{\begin{matrix}Q=\frac{C}{c_{4}}\text{, }&c_{4}\neq 0\\Q\in \mathrm{R}\text{, }&\left(C=0\text{ and }c_{4}=0\right)\text{ or }\mu =0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$\mu c_{4}Q=\mu C$$

The equation is in standard form.

$$c_{4}\mu Q=C\mu$$

Divide both sides by \mu c_{4}.

$$\frac{c_{4}\mu Q}{c_{4}\mu }=\frac{C\mu }{c_{4}\mu }$$

Dividing by \mu c_{4} undoes the multiplication by \mu c_{4}.

$$Q=\frac{C\mu }{c_{4}\mu }$$

Divide \mu C by \mu c_{4}.

$$Q=\frac{C}{c_{4}}$$