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

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

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

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

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

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

Combine like terms: 6p + -5p = 1p
(-30 + 1p + p2) = 0

Solving
-30 + 1p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-6 + -1p)(5 + -1p) = 0

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

Simplifying
-6 + -1p = 0

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

Combine like terms: -6 + 6 = 0
0 + -1p = 0 + 6
-1p = 0 + 6

Combine like terms: 0 + 6 = 6
-1p = 6

Divide each side by '-1'.
p = -6

Simplifying
p = -6
Subproblem 2
Set the factor '(5 + -1p)' equal to zero and attempt to solve:

Simplifying
5 + -1p = 0

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

Combine like terms: 5 + -5 = 0
0 + -1p = 0 + -5
-1p = 0 + -5

Combine like terms: 0 + -5 = -5
-1p = -5

Divide each side by '-1'.
p = 5

Simplifying
p = 5
Solution
p = {-6, 5}