p^2-16p=-82

Solution for p^2-16p=-82 equation:

Simplifying
p2 + -16p = -82

Reorder the terms:
-16p + p2 = -82

Solving
-16p + p2 = -82

Solving for variable 'p'.

Reorder the terms:
82 + -16p + p2 = -82 + 82

Combine like terms: -82 + 82 = 0
82 + -16p + p2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-82' to each side of the equation.
82 + -16p + -82 + p2 = 0 + -82

Reorder the terms:
82 + -82 + -16p + p2 = 0 + -82

Combine like terms: 82 + -82 = 0
0 + -16p + p2 = 0 + -82
-16p + p2 = 0 + -82

Combine like terms: 0 + -82 = -82
-16p + p2 = -82

The p term is -16p.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16p + 64 + p2 = -82 + 64

Reorder the terms:
64 + -16p + p2 = -82 + 64

Combine like terms: -82 + 64 = -18
64 + -16p + p2 = -18

Factor a perfect square on the left side:
(p + -8)(p + -8) = -18

Can't calculate square root of the right side.

The solution to this equation could not be determined.