(p-5)(p+11)=

Solution for (p-5)(p+11)= equation:

Simplifying
(p + -5)(p + 11) = 0

Reorder the terms:
(-5 + p)(p + 11) = 0

Reorder the terms:
(-5 + p)(11 + p) = 0

Multiply (-5 + p) * (11 + p)
(-5(11 + p) + p(11 + p)) = 0
((11 * -5 + p * -5) + p(11 + p)) = 0
((-55 + -5p) + p(11 + p)) = 0
(-55 + -5p + (11 * p + p * p)) = 0
(-55 + -5p + (11p + p2)) = 0

Combine like terms: -5p + 11p = 6p
(-55 + 6p + p2) = 0

Solving
-55 + 6p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-11 + -1p)(5 + -1p) = 0

Subproblem 1
Set the factor '(-11 + -1p)' equal to zero and attempt to solve:

Simplifying
-11 + -1p = 0

Solving
-11 + -1p = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1p = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1p = 0 + 11
-1p = 0 + 11

Combine like terms: 0 + 11 = 11
-1p = 11

Divide each side by '-1'.
p = -11

Simplifying
p = -11
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 = {-11, 5}