(p-16)(p-5)=0

Solution for (p-16)(p-5)=0 equation:

Simplifying
(p + -16)(p + -5) = 0

Reorder the terms:
(-16 + p)(p + -5) = 0

Reorder the terms:
(-16 + p)(-5 + p) = 0

Multiply (-16 + p) * (-5 + p)
(-16(-5 + p) + p(-5 + p)) = 0
((-5 * -16 + p * -16) + p(-5 + p)) = 0
((80 + -16p) + p(-5 + p)) = 0
(80 + -16p + (-5 * p + p * p)) = 0
(80 + -16p + (-5p + p2)) = 0

Combine like terms: -16p + -5p = -21p
(80 + -21p + p2) = 0

Solving
80 + -21p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(5 + -1p)(16 + -1p) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(16 + -1p)' equal to zero and attempt to solve:

Simplifying
16 + -1p = 0

Solving
16 + -1p = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1p = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1p = 0 + -16
-1p = 0 + -16

Combine like terms: 0 + -16 = -16
-1p = -16

Divide each side by '-1'.
p = 16

Simplifying
p = 16
Solution
p = {5, 16}