N^2+18N+9=-8

Solution for N^2+18N+9=-8 equation:

Simplifying
N2 + 18N + 9 = -8

Reorder the terms:
9 + 18N + N2 = -8

Solving
9 + 18N + N2 = -8

Solving for variable 'N'.

Reorder the terms:
9 + 8 + 18N + N2 = -8 + 8

Combine like terms: 9 + 8 = 17
17 + 18N + N2 = -8 + 8

Combine like terms: -8 + 8 = 0
17 + 18N + N2 = 0

Factor a trinomial.
(17 + N)(1 + N) = 0

Subproblem 1
Set the factor '(17 + N)' equal to zero and attempt to solve:

Simplifying
17 + N = 0

Solving
17 + N = 0

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

Add '-17' to each side of the equation.
17 + -17 + N = 0 + -17

Combine like terms: 17 + -17 = 0
0 + N = 0 + -17
N = 0 + -17

Combine like terms: 0 + -17 = -17
N = -17

Simplifying
N = -17
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 = {-17, -1}