p^2+10p-104=-8

Solution for p^2+10p-104=-8 equation:

Simplifying
p2 + 10p + -104 = -8

Reorder the terms:
-104 + 10p + p2 = -8

Solving
-104 + 10p + p2 = -8

Solving for variable 'p'.

Reorder the terms:
-104 + 8 + 10p + p2 = -8 + 8

Combine like terms: -104 + 8 = -96
-96 + 10p + p2 = -8 + 8

Combine like terms: -8 + 8 = 0
-96 + 10p + p2 = 0

Factor a trinomial.
(-16 + -1p)(6 + -1p) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(6 + -1p)' equal to zero and attempt to solve:

Simplifying
6 + -1p = 0

Solving
6 + -1p = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1p = 0 + -6
-1p = 0 + -6

Combine like terms: 0 + -6 = -6
-1p = -6

Divide each side by '-1'.
p = 6

Simplifying
p = 6
Solution
p = {-16, 6}