Answer:
[tex]x=-72[/tex]
Step-by-step explanation:
The given equation is [tex]\sqrt[3]{x+8}=-4[/tex].
We cube both sides of this equation to obtain;
[tex](\sqrt[3]{x+8})^3=(-4)^3[/tex].
This implies that;
[tex](x+8)=-64[/tex]
We group similar terms to obtain;
[tex]x=-64-8[/tex]
We simplify the right hand side of the equation to obtain;
[tex]x=-72[/tex]
Therefore x=-72 is the solution of the given equation.
