n^2+9n+18=(n+3)

Solution for n^2+9n+18=(n+3) equation:

Simplifying
n2 + 9n + 18 = (n + 3)

Reorder the terms:
18 + 9n + n2 = (n + 3)

Reorder the terms:
18 + 9n + n2 = (3 + n)

Remove parenthesis around (3 + n)
18 + 9n + n2 = 3 + n

Solving
18 + 9n + n2 = 3 + n

Solving for variable 'n'.

Reorder the terms:
18 + -3 + 9n + -1n + n2 = 3 + n + -3 + -1n

Combine like terms: 18 + -3 = 15
15 + 9n + -1n + n2 = 3 + n + -3 + -1n

Combine like terms: 9n + -1n = 8n
15 + 8n + n2 = 3 + n + -3 + -1n

Reorder the terms:
15 + 8n + n2 = 3 + -3 + n + -1n

Combine like terms: 3 + -3 = 0
15 + 8n + n2 = 0 + n + -1n
15 + 8n + n2 = n + -1n

Combine like terms: n + -1n = 0
15 + 8n + n2 = 0

Factor a trinomial.
(5 + n)(3 + n) = 0

Subproblem 1
Set the factor '(5 + n)' equal to zero and attempt to solve:

Simplifying
5 + n = 0

Solving
5 + n = 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 + n = 0 + -5

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

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

Simplifying
n = -5
Subproblem 2
Set the factor '(3 + n)' equal to zero and attempt to solve:

Simplifying
3 + n = 0

Solving
3 + n = 0

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

Add '-3' to each side of the equation.
3 + -3 + n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + n = 0 + -3
n = 0 + -3

Combine like terms: 0 + -3 = -3
n = -3

Simplifying
n = -3
Solution
n = {-5, -3}