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}