Solve f3x=x^3

$$f3x= { x }^{ 3 }$$

Solve for f_3 (complex solution)

$$\left\{\begin{matrix}\\f_{3}=x^{2}\text{, }&\text{unconditionally}\\f_{3}\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$xf_{3}=x^{3}$$

Divide both sides by x.

$$\frac{xf_{3}}{x}=\frac{x^{3}}{x}$$

Dividing by x undoes the multiplication by x.

$$f_{3}=\frac{x^{3}}{x}$$

Divide x^{3} by x.

$$f_{3}=x^{2}$$

Solve for f_3

$$\left\{\begin{matrix}\\f_{3}=x^{2}\text{, }&\text{unconditionally}\\f_{3}\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$xf_{3}=x^{3}$$

Divide both sides by x.

$$\frac{xf_{3}}{x}=\frac{x^{3}}{x}$$

Dividing by x undoes the multiplication by x.

$$f_{3}=\frac{x^{3}}{x}$$

Divide x^{3} by x.

$$f_{3}=x^{2}$$

Solve for x (complex solution)

$$x=\sqrt{f_{3}}$$

$$x=0$$

$$x=-\sqrt{f_{3}}$$

Solve for x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x=\sqrt{f_{3}}\text{; }x=-\sqrt{f_{3}}\text{, }&f_{3}\geq 0\end{matrix}\right.$$