(p+4)(p+5)=0

Solution for (p+4)(p+5)=0 equation:

Simplifying
(p + 4)(p + 5) = 0

Reorder the terms:
(4 + p)(p + 5) = 0

Reorder the terms:
(4 + p)(5 + p) = 0

Multiply (4 + p) * (5 + p)
(4(5 + p) + p(5 + p)) = 0
((5 * 4 + p * 4) + p(5 + p)) = 0
((20 + 4p) + p(5 + p)) = 0
(20 + 4p + (5 * p + p * p)) = 0
(20 + 4p + (5p + p2)) = 0

Combine like terms: 4p + 5p = 9p
(20 + 9p + p2) = 0

Solving
20 + 9p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(5 + p)(4 + p) = 0

Subproblem 1
Set the factor '(5 + p)' equal to zero and attempt to solve:

Simplifying
5 + p = 0

Solving
5 + p = 0

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

Add '-5' to each side of the equation.
5 + -5 + p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + p = 0 + -5
p = 0 + -5

Combine like terms: 0 + -5 = -5
p = -5

Simplifying
p = -5
Subproblem 2
Set the factor '(4 + p)' equal to zero and attempt to solve:

Simplifying
4 + p = 0

Solving
4 + p = 0

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

Add '-4' to each side of the equation.
4 + -4 + p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + p = 0 + -4
p = 0 + -4

Combine like terms: 0 + -4 = -4
p = -4

Simplifying
p = -4
Solution
p = {-5, -4}