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

Solution for 3(p+6)(p+5)=0 equation:

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

Reorder the terms:
3(6 + p)(p + 5) = 0

Reorder the terms:
3(6 + p)(5 + p) = 0

Multiply (6 + p) * (5 + p)
3(6(5 + p) + p(5 + p)) = 0
3((5 * 6 + p * 6) + p(5 + p)) = 0
3((30 + 6p) + p(5 + p)) = 0
3(30 + 6p + (5 * p + p * p)) = 0
3(30 + 6p + (5p + p2)) = 0

Combine like terms: 6p + 5p = 11p
3(30 + 11p + p2) = 0
(30 * 3 + 11p * 3 + p2 * 3) = 0
(90 + 33p + 3p2) = 0

Solving
90 + 33p + 3p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3'.
3(30 + 11p + p2) = 0

Factor a trinomial.
3((6 + p)(5 + p)) = 0

Ignore the factor 3.
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}