2x(x^3-64)=0

Solution for 2x(x^3-64)=0 equation:

Simplifying
2x(x3 + -64) = 0

Reorder the terms:
2x(-64 + x3) = 0
(-64 * 2x + x3 * 2x) = 0
(-128x + 2x4) = 0

Solving
-128x + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-64 + x3) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-64 + x3)' equal to zero and attempt to solve:

Simplifying
-64 + x3 = 0

Solving
-64 + x3 = 0

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

Add '64' to each side of the equation.
-64 + 64 + x3 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + x3 = 0 + 64
x3 = 0 + 64

Combine like terms: 0 + 64 = 64
x3 = 64

Simplifying
x3 = 64

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}