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

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

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

Multiply (-3 + -1p) * (3 + p)
(-3(3 + p) + -1p * (3 + p)) = 0
((3 * -3 + p * -3) + -1p * (3 + p)) = 0
((-9 + -3p) + -1p * (3 + p)) = 0
(-9 + -3p + (3 * -1p + p * -1p)) = 0
(-9 + -3p + (-3p + -1p2)) = 0

Combine like terms: -3p + -3p = -6p
(-9 + -6p + -1p2) = 0

Solving
-9 + -6p + -1p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(9 + 6p + p2) = 0

Factor a trinomial.
-1((3 + p)(3 + 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 '(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 = {-3, -3}