7n(2n-8)=

Solution for 7n(2n-8)= equation:

Simplifying
7n(2n + -8) = 0

Reorder the terms:
7n(-8 + 2n) = 0
(-8 * 7n + 2n * 7n) = 0
(-56n + 14n2) = 0

Solving
-56n + 14n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '14n'.
14n(-4 + n) = 0

Ignore the factor 14.
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 + n)' equal to zero and attempt to solve:

Simplifying
-4 + n = 0

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

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

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

Simplifying
n = 4
Solution
n = {0, 4}