there is an error in the work shown below. Explain the error and provide a correct solution. plz explain what the person did wrong.

Answer:
X Does not Equal -5
Step-by-step explanation:
It Equals something like -5/2+i(something).
This is when referring to x(cubed) = 125
Further Explanation:
x=5,\:x=-\frac{5}{2}+i\frac{5\sqrt{3}}{2},\:x=-\frac{5}{2}-i\frac{5\sqrt{3}}{2}
unfortunate :/