(-8n-1)(-6n+6)=

Solution for (-8n-1)(-6n+6)= equation:

Simplifying
(-8n + -1)(-6n + 6) = 0

Reorder the terms:
(-1 + -8n)(-6n + 6) = 0

Reorder the terms:
(-1 + -8n)(6 + -6n) = 0

Multiply (-1 + -8n) * (6 + -6n)
(-1(6 + -6n) + -8n * (6 + -6n)) = 0
((6 * -1 + -6n * -1) + -8n * (6 + -6n)) = 0
((-6 + 6n) + -8n * (6 + -6n)) = 0
(-6 + 6n + (6 * -8n + -6n * -8n)) = 0
(-6 + 6n + (-48n + 48n2)) = 0

Combine like terms: 6n + -48n = -42n
(-6 + -42n + 48n2) = 0

Solving
-6 + -42n + 48n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-1 + -7n + 8n2) = 0

Factor a trinomial.
6((-1 + -8n)(1 + -1n)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-1 + -8n)' equal to zero and attempt to solve:

Simplifying
-1 + -8n = 0

Solving
-1 + -8n = 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 + -8n = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -8n = 0 + 1
-8n = 0 + 1

Combine like terms: 0 + 1 = 1
-8n = 1

Divide each side by '-8'.
n = -0.125

Simplifying
n = -0.125
Subproblem 2
Set the factor '(1 + -1n)' equal to zero and attempt to solve:

Simplifying
1 + -1n = 0

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

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

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

Divide each side by '-1'.
n = 1

Simplifying
n = 1
Solution
n = {-0.125, 1}