Question

In the following exercises, solve.

$\sqrt[3]{2x}=-2$

Short answer

The solution of the given equation is $x=-4$.

Step-by-step solution

Step 1. Given information.

The given equation is:

$\sqrt[3]{2x}=-2$

Step 2. Solve the equation.

Take cube on both sides.

$\begin{array}{rcl}(\sqrt[3]{2x}{)}^3& =& (-2{)}^3\\ 2x& =& -8\\ \frac{2x}{2}& =& \frac{-8}{2}\\ x& =& -4\end{array}$

Step 3. Conclusion.

The solution of the given equation is $x=-4$.