(6n+6)(3n+6)=

Solution for (6n+6)(3n+6)= equation:

Simplifying
(6n + 6)(3n + 6) = 0

Reorder the terms:
(6 + 6n)(3n + 6) = 0

Reorder the terms:
(6 + 6n)(6 + 3n) = 0

Multiply (6 + 6n) * (6 + 3n)
(6(6 + 3n) + 6n * (6 + 3n)) = 0
((6 * 6 + 3n * 6) + 6n * (6 + 3n)) = 0
((36 + 18n) + 6n * (6 + 3n)) = 0
(36 + 18n + (6 * 6n + 3n * 6n)) = 0
(36 + 18n + (36n + 18n2)) = 0

Combine like terms: 18n + 36n = 54n
(36 + 54n + 18n2) = 0

Solving
36 + 54n + 18n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '18'.
18(2 + 3n + n2) = 0

Factor a trinomial.
18((2 + n)(1 + n)) = 0

Ignore the factor 18.
Subproblem 1
Set the factor '(2 + n)' equal to zero and attempt to solve:

Simplifying
2 + n = 0

Solving
2 + n = 0

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

Add '-2' to each side of the equation.
2 + -2 + n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + n = 0 + -2
n = 0 + -2

Combine like terms: 0 + -2 = -2
n = -2

Simplifying
n = -2
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 = {-2, -1}