(6n+6)(8n+5)=

Solution for (6n+6)(8n+5)= equation:

Simplifying
(6n + 6)(8n + 5) = 0

Reorder the terms:
(6 + 6n)(8n + 5) = 0

Reorder the terms:
(6 + 6n)(5 + 8n) = 0

Multiply (6 + 6n) * (5 + 8n)
(6(5 + 8n) + 6n * (5 + 8n)) = 0
((5 * 6 + 8n * 6) + 6n * (5 + 8n)) = 0
((30 + 48n) + 6n * (5 + 8n)) = 0
(30 + 48n + (5 * 6n + 8n * 6n)) = 0
(30 + 48n + (30n + 48n2)) = 0

Combine like terms: 48n + 30n = 78n
(30 + 78n + 48n2) = 0

Solving
30 + 78n + 48n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '6'.
6(5 + 13n + 8n2) = 0

Factor a trinomial.
6((1 + n)(5 + 8n)) = 0

Ignore the factor 6.
Subproblem 1
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
Subproblem 2
Set the factor '(5 + 8n)' equal to zero and attempt to solve:

Simplifying
5 + 8n = 0

Solving
5 + 8n = 0

Move all terms containing n to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + 8n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 8n = 0 + -5
8n = 0 + -5

Combine like terms: 0 + -5 = -5
8n = -5

Divide each side by '8'.
n = -0.625

Simplifying
n = -0.625
Solution
n = {-1, -0.625}