6(p+1)(p+2)=0

Solution for 6(p+1)(p+2)=0 equation:

Simplifying
6(p + 1)(p + 2) = 0

Reorder the terms:
6(1 + p)(p + 2) = 0

Reorder the terms:
6(1 + p)(2 + p) = 0

Multiply (1 + p) * (2 + p)
6(1(2 + p) + p(2 + p)) = 0
6((2 * 1 + p * 1) + p(2 + p)) = 0
6((2 + 1p) + p(2 + p)) = 0
6(2 + 1p + (2 * p + p * p)) = 0
6(2 + 1p + (2p + p2)) = 0

Combine like terms: 1p + 2p = 3p
6(2 + 3p + p2) = 0
(2 * 6 + 3p * 6 + p2 * 6) = 0
(12 + 18p + 6p2) = 0

Solving
12 + 18p + 6p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '6'.
6(2 + 3p + p2) = 0

Factor a trinomial.
6((2 + p)(1 + p)) = 0

Ignore the factor 6.
Subproblem 1
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
Subproblem 2
Set the factor '(1 + p)' equal to zero and attempt to solve:

Simplifying
1 + p = 0

Solving
1 + p = 0

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

Add '-1' to each side of the equation.
1 + -1 + p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + p = 0 + -1
p = 0 + -1

Combine like terms: 0 + -1 = -1
p = -1

Simplifying
p = -1
Solution
p = {-2, -1}