9p^2+74p+16=0

Solution for 9p^2+74p+16=0 equation:

Simplifying
9p2 + 74p + 16 = 0

Reorder the terms:
16 + 74p + 9p2 = 0

Solving
16 + 74p + 9p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(8 + p)(2 + 9p) = 0

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

Simplifying
8 + p = 0

Solving
8 + p = 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 + p = 0 + -8

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

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

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

Simplifying
2 + 9p = 0

Solving
2 + 9p = 0

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

Add '-2' to each side of the equation.
2 + -2 + 9p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 9p = 0 + -2
9p = 0 + -2

Combine like terms: 0 + -2 = -2
9p = -2

Divide each side by '9'.
p = -0.2222222222

Simplifying
p = -0.2222222222
Solution
p = {-8, -0.2222222222}