To remove the radical on the left side of the equation, cube both sides of the equation.

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Simplify.

Raise to the power of .

Subtract from both sides of the equation.

Subtract from .

Solve for x cube root of x+8=-4