2p^2-16p-59=7

Solution for 2p^2-16p-59=7 equation:

Simplifying
2p2 + -16p + -59 = 7

Reorder the terms:
-59 + -16p + 2p2 = 7

Solving
-59 + -16p + 2p2 = 7

Solving for variable 'p'.

Reorder the terms:
-59 + -7 + -16p + 2p2 = 7 + -7

Combine like terms: -59 + -7 = -66
-66 + -16p + 2p2 = 7 + -7

Combine like terms: 7 + -7 = 0
-66 + -16p + 2p2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-33 + -8p + p2) = 0

Factor a trinomial.
2((-3 + -1p)(11 + -1p)) = 0

Ignore the factor 2.
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 '(11 + -1p)' equal to zero and attempt to solve:

Simplifying
11 + -1p = 0

Solving
11 + -1p = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1p = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1p = 0 + -11
-1p = 0 + -11

Combine like terms: 0 + -11 = -11
-1p = -11

Divide each side by '-1'.
p = 11

Simplifying
p = 11
Solution
p = {-3, 11}