p^2-2p-7=8

Solution for p^2-2p-7=8 equation:

Simplifying
p2 + -2p + -7 = 8

Reorder the terms:
-7 + -2p + p2 = 8

Solving
-7 + -2p + p2 = 8

Solving for variable 'p'.

Reorder the terms:
-7 + -8 + -2p + p2 = 8 + -8

Combine like terms: -7 + -8 = -15
-15 + -2p + p2 = 8 + -8

Combine like terms: 8 + -8 = 0
-15 + -2p + p2 = 0

Factor a trinomial.
(-3 + -1p)(5 + -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 '(5 + -1p)' equal to zero and attempt to solve:

Simplifying
5 + -1p = 0

Solving
5 + -1p = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1p = 0 + -5
-1p = 0 + -5

Combine like terms: 0 + -5 = -5
-1p = -5

Divide each side by '-1'.
p = 5

Simplifying
p = 5
Solution
p = {-3, 5}