(p+5)(p+6)=0

Solution for (p+5)(p+6)=0 equation:

Simplifying
(p + 5)(p + 6) = 0

Reorder the terms:
(5 + p)(p + 6) = 0

Reorder the terms:
(5 + p)(6 + p) = 0

Multiply (5 + p) * (6 + p)
(5(6 + p) + p(6 + p)) = 0
((6 * 5 + p * 5) + p(6 + p)) = 0
((30 + 5p) + p(6 + p)) = 0
(30 + 5p + (6 * p + p * p)) = 0
(30 + 5p + (6p + p2)) = 0

Combine like terms: 5p + 6p = 11p
(30 + 11p + p2) = 0

Solving
30 + 11p + p2 = 0

Solving for variable 'p'.

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

Subproblem 1
Set the factor '(6 + p)' equal to zero and attempt to solve:

Simplifying
6 + p = 0

Solving
6 + p = 0

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

Add '-6' to each side of the equation.
6 + -6 + p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + p = 0 + -6
p = 0 + -6

Combine like terms: 0 + -6 = -6
p = -6

Simplifying
p = -6
Subproblem 2
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
Solution
p = {-6, -5}