-8n^2-8n+6=6

Solution for -8n^2-8n+6=6 equation:

Simplifying
-8n2 + -8n + 6 = 6

Reorder the terms:
6 + -8n + -8n2 = 6

Add '-6' to each side of the equation.
6 + -8n + -6 + -8n2 = 6 + -6

Reorder the terms:
6 + -6 + -8n + -8n2 = 6 + -6

Combine like terms: 6 + -6 = 0
0 + -8n + -8n2 = 6 + -6
-8n + -8n2 = 6 + -6

Combine like terms: 6 + -6 = 0
-8n + -8n2 = 0

Solving
-8n + -8n2 = 0

Solving for variable 'n'.

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

Ignore the factor -8.
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 + n)' equal to zero and attempt to solve:

Simplifying
1 + n = 0

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

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

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

Simplifying
n = -1
Solution
n = {0, -1}