Solve sqrt[5]{x}*z=x

$$\sqrt[ 5 ]{ x } \times z=x$$

Solve for z

$$\left\{\begin{matrix}\\z=x^{\frac{4}{5}}\text{, }&\text{unconditionally}\\z\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\sqrt[5]{x}z=x$$

Divide both sides by \sqrt[5]{x}.

$$\frac{\sqrt[5]{x}z}{\sqrt[5]{x}}=\frac{x}{\sqrt[5]{x}}$$

Dividing by \sqrt[5]{x} undoes the multiplication by \sqrt[5]{x}.

$$z=\frac{x}{\sqrt[5]{x}}$$

Divide x by \sqrt[5]{x}.

$$z=x^{\frac{4}{5}}$$

Solve for x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x=-z^{\frac{5}{4}}\text{; }x=z^{\frac{5}{4}}\text{, }&z\geq 0\end{matrix}\right.$$