p^2-14p+16=-8

Solution for p^2-14p+16=-8 equation:

Simplifying
p2 + -14p + 16 = -8

Reorder the terms:
16 + -14p + p2 = -8

Solving
16 + -14p + p2 = -8

Solving for variable 'p'.

Reorder the terms:
16 + 8 + -14p + p2 = -8 + 8

Combine like terms: 16 + 8 = 24
24 + -14p + p2 = -8 + 8

Combine like terms: -8 + 8 = 0
24 + -14p + p2 = 0

Factor a trinomial.
(2 + -1p)(12 + -1p) = 0

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

Simplifying
2 + -1p = 0

Solving
2 + -1p = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1p = 0 + -2
-1p = 0 + -2

Combine like terms: 0 + -2 = -2
-1p = -2

Divide each side by '-1'.
p = 2

Simplifying
p = 2
Subproblem 2
Set the factor '(12 + -1p)' equal to zero and attempt to solve:

Simplifying
12 + -1p = 0

Solving
12 + -1p = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1p = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1p = 0 + -12
-1p = 0 + -12

Combine like terms: 0 + -12 = -12
-1p = -12

Divide each side by '-1'.
p = 12

Simplifying
p = 12
Solution
p = {2, 12}