p^2-10p-39=0

Solution for p^2-10p-39=0 equation:

Simplifying
p2 + -10p + -39 = 0

Reorder the terms:
-39 + -10p + p2 = 0

Solving
-39 + -10p + 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}