4x^3(6x^2-1)=

Solution for 4x^3(6x^2-1)= equation:

Simplifying
4x3(6x2 + -1) = 0

Reorder the terms:
4x3(-1 + 6x2) = 0
(-1 * 4x3 + 6x2 * 4x3) = 0
(-4x3 + 24x5) = 0

Solving
-4x3 + 24x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x3'.
4x3(-1 + 6x2) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

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

Simplifying
x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-1 + 6x2)' equal to zero and attempt to solve:

Simplifying
-1 + 6x2 = 0

Solving
-1 + 6x2 = 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 + 6x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 6x2 = 0 + 1
6x2 = 0 + 1

Combine like terms: 0 + 1 = 1
6x2 = 1

Divide each side by '6'.
x2 = 0.1666666667

Simplifying
x2 = 0.1666666667

Take the square root of each side:
x = {-0.408248291, 0.408248291}
Solution
x = {-0.408248291, 0.408248291}