p^2-12p-55=9

Solution for p^2-12p-55=9 equation:

Simplifying
p2 + -12p + -55 = 9

Reorder the terms:
-55 + -12p + p2 = 9

Solving
-55 + -12p + p2 = 9

Solving for variable 'p'.

Reorder the terms:
-55 + -9 + -12p + p2 = 9 + -9

Combine like terms: -55 + -9 = -64
-64 + -12p + p2 = 9 + -9

Combine like terms: 9 + -9 = 0
-64 + -12p + p2 = 0

Factor a trinomial.
(-4 + -1p)(16 + -1p) = 0

Subproblem 1
Set the factor '(-4 + -1p)' equal to zero and attempt to solve:

Simplifying
-4 + -1p = 0

Solving
-4 + -1p = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1p = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1p = 0 + 4
-1p = 0 + 4

Combine like terms: 0 + 4 = 4
-1p = 4

Divide each side by '-1'.
p = -4

Simplifying
p = -4
Subproblem 2
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
Solution
p = {-4, 16}