2x^4-2000x=0

Solution for 2x^4-2000x=0 equation:

Simplifying
2x4 + -2000x = 0

Reorder the terms:
-2000x + 2x4 = 0

Solving
-2000x + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-1000 + 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 '(-1000 + x3)' equal to zero and attempt to solve:

Simplifying
-1000 + x3 = 0

Solving
-1000 + x3 = 0

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

Add '1000' to each side of the equation.
-1000 + 1000 + x3 = 0 + 1000

Combine like terms: -1000 + 1000 = 0
0 + x3 = 0 + 1000
x3 = 0 + 1000

Combine like terms: 0 + 1000 = 1000
x3 = 1000

Simplifying
x3 = 1000

The solution to this equation could not be determined.

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