x^2-16x+82=0

Solution for x^2-16x+82=0 equation:

Simplifying
x2 + -16x + 82 = 0

Reorder the terms:
82 + -16x + x2 = 0

Solving
82 + -16x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-82' to each side of the equation.
82 + -16x + -82 + x2 = 0 + -82

Reorder the terms:
82 + -82 + -16x + x2 = 0 + -82

Combine like terms: 82 + -82 = 0
0 + -16x + x2 = 0 + -82
-16x + x2 = 0 + -82

Combine like terms: 0 + -82 = -82
-16x + x2 = -82

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

Add '64' to each side of the equation.
-16x + 64 + x2 = -82 + 64

Reorder the terms:
64 + -16x + x2 = -82 + 64

Combine like terms: -82 + 64 = -18
64 + -16x + x2 = -18

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.