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

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

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

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

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

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

Combine like terms: -48n + 8n = -40n
(-8 + -40n + 48n2) = 0

Solving
-8 + -40n + 48n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-1 + -5n + 6n2) = 0

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

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

Simplifying
-1 + -6n = 0

Solving
-1 + -6n = 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 + -6n = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -6n = 0 + 1
-6n = 0 + 1

Combine like terms: 0 + 1 = 1
-6n = 1

Divide each side by '-6'.
n = -0.1666666667

Simplifying
n = -0.1666666667
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 = {-0.1666666667, 1}