p^2+18p+32=0

Solution for p^2+18p+32=0 equation:

Simplifying
p2 + 18p + 32 = 0

Reorder the terms:
32 + 18p + p2 = 0

Solving
32 + 18p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(16 + p)(2 + p) = 0

Subproblem 1
Set the factor '(16 + p)' equal to zero and attempt to solve:

Simplifying
16 + p = 0

Solving
16 + p = 0

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

Add '-16' to each side of the equation.
16 + -16 + p = 0 + -16

Combine like terms: 16 + -16 = 0
0 + p = 0 + -16
p = 0 + -16

Combine like terms: 0 + -16 = -16
p = -16

Simplifying
p = -16
Subproblem 2
Set the factor '(2 + p)' equal to zero and attempt to solve:

Simplifying
2 + p = 0

Solving
2 + p = 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 + p = 0 + -2

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

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

Simplifying
p = -2
Solution
p = {-16, -2}