2p^2-2p-55=5

Solution for 2p^2-2p-55=5 equation:

Simplifying
2p2 + -2p + -55 = 5

Reorder the terms:
-55 + -2p + 2p2 = 5

Solving
-55 + -2p + 2p2 = 5

Solving for variable 'p'.

Reorder the terms:
-55 + -5 + -2p + 2p2 = 5 + -5

Combine like terms: -55 + -5 = -60
-60 + -2p + 2p2 = 5 + -5

Combine like terms: 5 + -5 = 0
-60 + -2p + 2p2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-30 + -1p + p2) = 0

Factor a trinomial.
2((-5 + -1p)(6 + -1p)) = 0

Ignore the factor 2.
Subproblem 1
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
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 = {-5, 6}