=4x^3-36x

Solution for =4x^3-36x equation:

Simplifying
0 = 4x3 + -36x

Reorder the terms:
0 = -36x + 4x3

Solving
0 = -36x + 4x3

Solving for variable 'x'.
Remove the zero:
36x + -4x3 = -36x + 4x3 + 36x + -4x3

Reorder the terms:
36x + -4x3 = -36x + 36x + 4x3 + -4x3

Combine like terms: -36x + 36x = 0
36x + -4x3 = 0 + 4x3 + -4x3
36x + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
36x + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(9 + -1x2) = 0

Factor a difference between two squares.
4x((3 + x)(3 + -1x)) = 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 '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Subproblem 3
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {0, -3, 3}