(n+6)(n+8)=

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

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

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

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

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

Combine like terms: 6n + 8n = 14n
(48 + 14n + n2) = 0

Solving
48 + 14n + n2 = 0

Solving for variable 'n'.

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

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

Simplifying
8 + n = 0

Solving
8 + n = 0

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

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

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

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

Simplifying
n = -8
Subproblem 2
Set the factor '(6 + n)' equal to zero and attempt to solve:

Simplifying
6 + n = 0

Solving
6 + n = 0

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

Add '-6' to each side of the equation.
6 + -6 + n = 0 + -6

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

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

Simplifying
n = -6
Solution
n = {-8, -6}