-4n(6n-4)+2n=

Solution for -4n(6n-4)+2n= equation:

Simplifying
-4n(6n + -4) + 2n = 0

Reorder the terms:
-4n(-4 + 6n) + 2n = 0
(-4 * -4n + 6n * -4n) + 2n = 0
(16n + -24n2) + 2n = 0

Reorder the terms:
16n + 2n + -24n2 = 0

Combine like terms: 16n + 2n = 18n
18n + -24n2 = 0

Solving
18n + -24n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '6n'.
6n(3 + -4n) = 0

Ignore the factor 6.
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 '(3 + -4n)' equal to zero and attempt to solve:

Simplifying
3 + -4n = 0

Solving
3 + -4n = 0

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

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

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

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

Divide each side by '-4'.
n = 0.75

Simplifying
n = 0.75
Solution
n = {0, 0.75}