p^2-16p+51=-4

Solution for p^2-16p+51=-4 equation:

Simplifying
p2 + -16p + 51 = -4

Reorder the terms:
51 + -16p + p2 = -4

Solving
51 + -16p + p2 = -4

Solving for variable 'p'.

Reorder the terms:
51 + 4 + -16p + p2 = -4 + 4

Combine like terms: 51 + 4 = 55
55 + -16p + p2 = -4 + 4

Combine like terms: -4 + 4 = 0
55 + -16p + p2 = 0

Factor a trinomial.
(5 + -1p)(11 + -1p) = 0

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 '(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 = {5, 11}