9p^2+17p+8=0

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

Simplifying
9p2 + 17p + 8 = 0

Reorder the terms:
8 + 17p + 9p2 = 0

Solving
8 + 17p + 9p2 = 0

Solving for variable 'p'.

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

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

Simplifying
1 + p = 0

Solving
1 + p = 0

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

Add '-1' to each side of the equation.
1 + -1 + p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + p = 0 + -1
p = 0 + -1

Combine like terms: 0 + -1 = -1
p = -1

Simplifying
p = -1
Subproblem 2
Set the factor '(8 + 9p)' equal to zero and attempt to solve:

Simplifying
8 + 9p = 0

Solving
8 + 9p = 0

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

Add '-8' to each side of the equation.
8 + -8 + 9p = 0 + -8

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

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

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

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