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

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

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

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

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

Multiply (6 + p) * (3 + p)
(6(3 + p) + p(3 + p)) = 0
((3 * 6 + p * 6) + p(3 + p)) = 0
((18 + 6p) + p(3 + p)) = 0
(18 + 6p + (3 * p + p * p)) = 0
(18 + 6p + (3p + p2)) = 0

Combine like terms: 6p + 3p = 9p
(18 + 9p + p2) = 0

Solving
18 + 9p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(6 + p)(3 + 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 '(3 + p)' equal to zero and attempt to solve:

Simplifying
3 + p = 0

Solving
3 + p = 0

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

Add '-3' to each side of the equation.
3 + -3 + p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + p = 0 + -3
p = 0 + -3

Combine like terms: 0 + -3 = -3
p = -3

Simplifying
p = -3
Solution
p = {-6, -3}