p^2-8p-12=8

Solution for p^2-8p-12=8 equation:

Simplifying
p2 + -8p + -12 = 8

Reorder the terms:
-12 + -8p + p2 = 8

Solving
-12 + -8p + p2 = 8

Solving for variable 'p'.

Reorder the terms:
-12 + -8 + -8p + p2 = 8 + -8

Combine like terms: -12 + -8 = -20
-20 + -8p + p2 = 8 + -8

Combine like terms: 8 + -8 = 0
-20 + -8p + p2 = 0

Factor a trinomial.
(-2 + -1p)(10 + -1p) = 0

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

Simplifying
-2 + -1p = 0

Solving
-2 + -1p = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1p = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1p = 0 + 2
-1p = 0 + 2

Combine like terms: 0 + 2 = 2
-1p = 2

Divide each side by '-1'.
p = -2

Simplifying
p = -2
Subproblem 2
Set the factor '(10 + -1p)' equal to zero and attempt to solve:

Simplifying
10 + -1p = 0

Solving
10 + -1p = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1p = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1p = 0 + -10
-1p = 0 + -10

Combine like terms: 0 + -10 = -10
-1p = -10

Divide each side by '-1'.
p = 10

Simplifying
p = 10
Solution
p = {-2, 10}