-8x^3(x-5)=

Solution for -8x^3(x-5)= equation:

Simplifying
-8x3(x + -5) = 0

Reorder the terms:
-8x3(-5 + x) = 0
(-5 * -8x3 + x * -8x3) = 0
(40x3 + -8x4) = 0

Solving
40x3 + -8x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x3'.
8x3(5 + -1x) = 0

Ignore the factor 8.
Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {5}