4n^3-2n=

Solution for 4n^3-2n= equation:

Simplifying
4n3 + -2n = 0

Reorder the terms:
-2n + 4n3 = 0

Solving
-2n + 4n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2n'.
2n(-1 + 2n2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0
Subproblem 2
Set the factor '(-1 + 2n2)' equal to zero and attempt to solve:

Simplifying
-1 + 2n2 = 0

Solving
-1 + 2n2 = 0

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

Add '1' to each side of the equation.
-1 + 1 + 2n2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2n2 = 0 + 1
2n2 = 0 + 1

Combine like terms: 0 + 1 = 1
2n2 = 1

Divide each side by '2'.
n2 = 0.5

Simplifying
n2 = 0.5

Take the square root of each side:
n = {-0.707106781, 0.707106781}
Solution
n = {0, -0.707106781, 0.707106781}