54x^3-3x=

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

Simplifying
54x3 + -3x = 0

Reorder the terms:
-3x + 54x3 = 0

Solving
-3x + 54x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-1 + 18x2) = 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 '(-1 + 18x2)' equal to zero and attempt to solve:

Simplifying
-1 + 18x2 = 0

Solving
-1 + 18x2 = 0

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

Add '1' to each side of the equation.
-1 + 1 + 18x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 18x2 = 0 + 1
18x2 = 0 + 1

Combine like terms: 0 + 1 = 1
18x2 = 1

Divide each side by '18'.
x2 = 0.05555555556

Simplifying
x2 = 0.05555555556

Take the square root of each side:
x = {-0.23570226, 0.23570226}
Solution
x = {0, -0.23570226, 0.23570226}