4x^3-200x=0

Solution for 4x^3-200x=0 equation:

Simplifying
4x3 + -200x = 0

Reorder the terms:
-200x + 4x3 = 0

Solving
-200x + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-50 + x2) = 0

Ignore the factor 4.
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 '(-50 + x2)' equal to zero and attempt to solve:

Simplifying
-50 + x2 = 0

Solving
-50 + x2 = 0

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

Add '50' to each side of the equation.
-50 + 50 + x2 = 0 + 50

Combine like terms: -50 + 50 = 0
0 + x2 = 0 + 50
x2 = 0 + 50

Combine like terms: 0 + 50 = 50
x2 = 50

Simplifying
x2 = 50

Take the square root of each side:
x = {-7.071067812, 7.071067812}
Solution
x = {0, -7.071067812, 7.071067812}