18x^3-27x=

Solution for 18x^3-27x= equation:

Simplifying
18x3 + -27x = 0

Reorder the terms:
-27x + 18x3 = 0

Solving
-27x + 18x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9x'.
9x(-3 + 2x2) = 0

Ignore the factor 9.
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 + 2x2)' equal to zero and attempt to solve:

Simplifying
-3 + 2x2 = 0

Solving
-3 + 2x2 = 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 + 2x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2x2 = 0 + 3
2x2 = 0 + 3

Combine like terms: 0 + 3 = 3
2x2 = 3

Divide each side by '2'.
x2 = 1.5

Simplifying
x2 = 1.5

Take the square root of each side:
x = {-1.224744871, 1.224744871}
Solution
x = {0, -1.224744871, 1.224744871}