7n(-8n+2)=

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

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

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

Solving
14n + -56n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '14n'.
14n(1 + -4n) = 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 '(1 + -4n)' equal to zero and attempt to solve:

Simplifying
1 + -4n = 0

Solving
1 + -4n = 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 + -4n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4n = 0 + -1
-4n = 0 + -1

Combine like terms: 0 + -1 = -1
-4n = -1

Divide each side by '-4'.
n = 0.25

Simplifying
n = 0.25
Solution
n = {0, 0.25}