Solve x-etamux=0

$$x - \eta \mu x = 0$$

Solve for x (complex solution)

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&\eta =\frac{1}{\mu }\text{ and }\mu \neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Reorder the terms.

$$-x\eta \mu +x=0$$

Combine all terms containing x.

$$\left(-\eta \mu +1\right)x=0$$

The equation is in standard form.

$$\left(1-\eta \mu \right)x=0$$

Divide 0 by 1-\eta \mu .

$$x=0$$

Solve for η (complex solution)

$$\left\{\begin{matrix}\eta =\frac{1}{\mu }\text{, }&\mu \neq 0\\\eta \in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract x from both sides. Anything subtracted from zero gives its negation.

$$-\eta \mu x=-x$$

The equation is in standard form.

$$\left(-x\mu \right)\eta =-x$$

Divide both sides by -\mu x.

$$\frac{\left(-x\mu \right)\eta }{-x\mu }=-\frac{x}{-x\mu }$$

Dividing by -\mu x undoes the multiplication by -\mu x.

$$\eta =-\frac{x}{-x\mu }$$

Divide -x by -\mu x.

$$\eta =\frac{1}{\mu }$$

Solve for x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&\eta =\frac{1}{\mu }\text{ and }\mu \neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Reorder the terms.

$$-x\eta \mu +x=0$$

Combine all terms containing x.

$$\left(-\eta \mu +1\right)x=0$$

The equation is in standard form.

$$\left(1-\eta \mu \right)x=0$$

Divide 0 by 1-\eta \mu .

$$x=0$$

Solve for η

$$\left\{\begin{matrix}\eta =\frac{1}{\mu }\text{, }&\mu \neq 0\\\eta \in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract x from both sides. Anything subtracted from zero gives its negation.

$$-\eta \mu x=-x$$

The equation is in standard form.

$$\left(-x\mu \right)\eta =-x$$

Divide both sides by -\mu x.

$$\frac{\left(-x\mu \right)\eta }{-x\mu }=-\frac{x}{-x\mu }$$

Dividing by -\mu x undoes the multiplication by -\mu x.

$$\eta =-\frac{x}{-x\mu }$$

Divide -x by -\mu x.

$$\eta =\frac{1}{\mu }$$