Solve x=y2x

$$x = y 2 x$$

Solve for x (complex solution)

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y_{2}=1\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract y_{2}x from both sides.

$$x-y_{2}x=0$$

Combine all terms containing x.

$$\left(1-y_{2}\right)x=0$$

Divide 0 by 1-y_{2}.

$$x=0$$

Solve for y_2 (complex solution)

$$\left\{\begin{matrix}\\y_{2}=1\text{, }&\text{unconditionally}\\y_{2}\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$y_{2}x=x$$

The equation is in standard form.

$$xy_{2}=x$$

Divide both sides by x.

$$\frac{xy_{2}}{x}=\frac{x}{x}$$

Dividing by x undoes the multiplication by x.

$$y_{2}=\frac{x}{x}$$

Divide x by x.

$$y_{2}=1$$

Solve for x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y_{2}=1\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract y_{2}x from both sides.

$$x-y_{2}x=0$$

Combine all terms containing x.

$$\left(1-y_{2}\right)x=0$$

Divide 0 by 1-y_{2}.

$$x=0$$

Solve for y_2

$$\left\{\begin{matrix}\\y_{2}=1\text{, }&\text{unconditionally}\\y_{2}\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$y_{2}x=x$$

The equation is in standard form.

$$xy_{2}=x$$

Divide both sides by x.

$$\frac{xy_{2}}{x}=\frac{x}{x}$$

Dividing by x undoes the multiplication by x.

$$y_{2}=\frac{x}{x}$$

Divide x by x.

$$y_{2}=1$$