p^2-16p+52=-8

Solution for p^2-16p+52=-8 equation:

Simplifying
p2 + -16p + 52 = -8

Reorder the terms:
52 + -16p + p2 = -8

Solving
52 + -16p + p2 = -8

Solving for variable 'p'.

Reorder the terms:
52 + 8 + -16p + p2 = -8 + 8

Combine like terms: 52 + 8 = 60
60 + -16p + p2 = -8 + 8

Combine like terms: -8 + 8 = 0
60 + -16p + p2 = 0

Factor a trinomial.
(6 + -1p)(10 + -1p) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(10 + -1p)' equal to zero and attempt to solve:

Simplifying
10 + -1p = 0

Solving
10 + -1p = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1p = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1p = 0 + -10
-1p = 0 + -10

Combine like terms: 0 + -10 = -10
-1p = -10

Divide each side by '-1'.
p = 10

Simplifying
p = 10
Solution
p = {6, 10}