p^2+9p+5=-3

Solution for p^2+9p+5=-3 equation:

Simplifying
p2 + 9p + 5 = -3

Reorder the terms:
5 + 9p + p2 = -3

Solving
5 + 9p + p2 = -3

Solving for variable 'p'.

Reorder the terms:
5 + 3 + 9p + p2 = -3 + 3

Combine like terms: 5 + 3 = 8
8 + 9p + p2 = -3 + 3

Combine like terms: -3 + 3 = 0
8 + 9p + p2 = 0

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