54x^3-8x=

Solution for 54x^3-8x= equation:

Simplifying
54x3 + -8x = 0

Reorder the terms:
-8x + 54x3 = 0

Solving
-8x + 54x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-4 + 27x2) = 0

Ignore the factor 2.
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 '(-4 + 27x2)' equal to zero and attempt to solve:

Simplifying
-4 + 27x2 = 0

Solving
-4 + 27x2 = 0

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

Add '4' to each side of the equation.
-4 + 4 + 27x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 27x2 = 0 + 4
27x2 = 0 + 4

Combine like terms: 0 + 4 = 4
27x2 = 4

Divide each side by '27'.
x2 = 0.1481481481

Simplifying
x2 = 0.1481481481

Take the square root of each side:
x = {-0.384900179, 0.384900179}
Solution
x = {0, -0.384900179, 0.384900179}