4x^3-456x=0

Solution for 4x^3-456x=0 equation:

Simplifying
4x3 + -456x = 0

Reorder the terms:
-456x + 4x3 = 0

Solving
-456x + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-114 + 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 '(-114 + x2)' equal to zero and attempt to solve:

Simplifying
-114 + x2 = 0

Solving
-114 + x2 = 0

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

Add '114' to each side of the equation.
-114 + 114 + x2 = 0 + 114

Combine like terms: -114 + 114 = 0
0 + x2 = 0 + 114
x2 = 0 + 114

Combine like terms: 0 + 114 = 114
x2 = 114

Simplifying
x2 = 114

Take the square root of each side:
x = {-10.677078252, 10.677078252}
Solution
x = {0, -10.677078252, 10.677078252}