2n(3n^2-4)=

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

Simplifying
2n(3n2 + -4) = 0

Reorder the terms:
2n(-4 + 3n2) = 0
(-4 * 2n + 3n2 * 2n) = 0
(-8n + 6n3) = 0

Solving
-8n + 6n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2n'.
2n(-4 + 3n2) = 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 '(-4 + 3n2)' equal to zero and attempt to solve:

Simplifying
-4 + 3n2 = 0

Solving
-4 + 3n2 = 0

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

Add '4' to each side of the equation.
-4 + 4 + 3n2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3n2 = 0 + 4
3n2 = 0 + 4

Combine like terms: 0 + 4 = 4
3n2 = 4

Divide each side by '3'.
n2 = 1.333333333

Simplifying
n2 = 1.333333333

Take the square root of each side:
n = {-1.154700538, 1.154700538}
Solution
n = {0, -1.154700538, 1.154700538}