(-p-2)(p+3)=

Solution for (-p-2)(p+3)= equation:

Simplifying
(-1p + -2)(p + 3) = 0

Reorder the terms:
(-2 + -1p)(p + 3) = 0

Reorder the terms:
(-2 + -1p)(3 + p) = 0

Multiply (-2 + -1p) * (3 + p)
(-2(3 + p) + -1p * (3 + p)) = 0
((3 * -2 + p * -2) + -1p * (3 + p)) = 0
((-6 + -2p) + -1p * (3 + p)) = 0
(-6 + -2p + (3 * -1p + p * -1p)) = 0
(-6 + -2p + (-3p + -1p2)) = 0

Combine like terms: -2p + -3p = -5p
(-6 + -5p + -1p2) = 0

Solving
-6 + -5p + -1p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(6 + 5p + p2) = 0

Factor a trinomial.
-1((3 + p)(2 + p)) = 0

Ignore the factor -1.
Subproblem 1
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
Subproblem 2
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
Solution
p = {-3, -2}