27x^3-129x=0

Solution for 27x^3-129x=0 equation:

Simplifying
27x3 + -129x = 0

Reorder the terms:
-129x + 27x3 = 0

Solving
-129x + 27x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-43 + 9x2) = 0

Ignore the factor 3.
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 '(-43 + 9x2)' equal to zero and attempt to solve:

Simplifying
-43 + 9x2 = 0

Solving
-43 + 9x2 = 0

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

Add '43' to each side of the equation.
-43 + 43 + 9x2 = 0 + 43

Combine like terms: -43 + 43 = 0
0 + 9x2 = 0 + 43
9x2 = 0 + 43

Combine like terms: 0 + 43 = 43
9x2 = 43

Divide each side by '9'.
x2 = 4.777777778

Simplifying
x2 = 4.777777778

Take the square root of each side:
x = {-2.185812841, 2.185812841}
Solution
x = {0, -2.185812841, 2.185812841}