n^2+9n+2=-6

Solution for n^2+9n+2=-6 equation:

Simplifying
n2 + 9n + 2 = -6

Reorder the terms:
2 + 9n + n2 = -6

Solving
2 + 9n + n2 = -6

Solving for variable 'n'.

Reorder the terms:
2 + 6 + 9n + n2 = -6 + 6

Combine like terms: 2 + 6 = 8
8 + 9n + n2 = -6 + 6

Combine like terms: -6 + 6 = 0
8 + 9n + n2 = 0

Factor a trinomial.
(8 + n)(1 + 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 '(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 = {-8, -1}