4n^2(4n-2)=

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

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

Reorder the terms:
4n2(-2 + 4n) = 0
(-2 * 4n2 + 4n * 4n2) = 0
(-8n2 + 16n3) = 0

Solving
-8n2 + 16n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '8n2'.
8n2(-1 + 2n) = 0

Ignore the factor 8.
Subproblem 1
Set the factor 'n2' equal to zero and attempt to solve:

Simplifying
n2 = 0

Solving
n2 = 0

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

Simplifying
n2 = 0

Take the square root of each side:
n = {0}
Subproblem 2
Set the factor '(-1 + 2n)' equal to zero and attempt to solve:

Simplifying
-1 + 2n = 0

Solving
-1 + 2n = 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 + 2n = 0 + 1

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

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

Divide each side by '2'.
n = 0.5

Simplifying
n = 0.5
Solution
n = {0, 0.5}