p^2-16p+39=0

Solution for p^2-16p+39=0 equation:

Simplifying
p2 + -16p + 39 = 0

Reorder the terms:
39 + -16p + p2 = 0

Solving
39 + -16p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(3 + -1p)(13 + -1p) = 0

Subproblem 1
Set the factor '(3 + -1p)' equal to zero and attempt to solve:

Simplifying
3 + -1p = 0

Solving
3 + -1p = 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 + -1p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1p = 0 + -3
-1p = 0 + -3

Combine like terms: 0 + -3 = -3
-1p = -3

Divide each side by '-1'.
p = 3

Simplifying
p = 3
Subproblem 2
Set the factor '(13 + -1p)' equal to zero and attempt to solve:

Simplifying
13 + -1p = 0

Solving
13 + -1p = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1p = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1p = 0 + -13
-1p = 0 + -13

Combine like terms: 0 + -13 = -13
-1p = -13

Divide each side by '-1'.
p = 13

Simplifying
p = 13
Solution
p = {3, 13}