Question

how do you find all the solutions (real and imaginary) for this,
0=5x^3(cubed)-625

Answer 1

I would first notice that you can factor out a 5 from both of those.

Answer 2

So then you would have 0=5(x^3-125)
0=x^3-125, since you can divide 5 on both sides and 0/5 =0.

Answer 3

Does this look similar to other types of problems you have for the functions to the third power?