9n^2+17n+8=0

Solution for 9n^2+17n+8=0 equation:

Simplifying
9n2 + 17n + 8 = 0

Reorder the terms:
8 + 17n + 9n2 = 0

Solving
8 + 17n + 9n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(1 + n)(8 + 9n) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(8 + 9n)' equal to zero and attempt to solve:

Simplifying
8 + 9n = 0

Solving
8 + 9n = 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 + 9n = 0 + -8

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

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

Divide each side by '9'.
n = -0.8888888889

Simplifying
n = -0.8888888889
Solution
n = {-1, -0.8888888889}