2n(6n-8)=

Solution for 2n(6n-8)= equation:

Simplifying
2n(6n + -8) = 0

Reorder the terms:
2n(-8 + 6n) = 0
(-8 * 2n + 6n * 2n) = 0
(-16n + 12n2) = 0

Solving
-16n + 12n2 = 0

Solving for variable 'n'.

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

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

Simplifying
-4 + 3n = 0

Solving
-4 + 3n = 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 + 3n = 0 + 4

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

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

Divide each side by '3'.
n = 1.333333333

Simplifying
n = 1.333333333
Solution
n = {0, 1.333333333}