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.
(-13 + -1p)(3 + -1p) = 0

Subproblem 1
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
Subproblem 2
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
Solution
p = {-13, 3}