0=x^4-64x

Solution for 0=x^4-64x equation:

Simplifying
0 = x4 + -64x

Reorder the terms:
0 = -64x + x4

Solving
0 = -64x + x4

Solving for variable 'x'.
Remove the zero:
64x + -1x4 = -64x + x4 + 64x + -1x4

Reorder the terms:
64x + -1x4 = -64x + 64x + x4 + -1x4

Combine like terms: -64x + 64x = 0
64x + -1x4 = 0 + x4 + -1x4
64x + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
64x + -1x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(64 + -1x3) = 0

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 + -1x3)' equal to zero and attempt to solve:

Simplifying
64 + -1x3 = 0

Solving
64 + -1x3 = 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 + -1x3 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -1x3 = 0 + -64
-1x3 = 0 + -64

Combine like terms: 0 + -64 = -64
-1x3 = -64

Divide each side by '-1'.
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}