x^2-2x+82=0

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

Simplifying
x2 + -2x + 82 = 0

Reorder the terms:
82 + -2x + x2 = 0

Solving
82 + -2x + 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 + -2x + -82 + x2 = 0 + -82

Reorder the terms:
82 + -82 + -2x + x2 = 0 + -82

Combine like terms: 82 + -82 = 0
0 + -2x + x2 = 0 + -82
-2x + x2 = 0 + -82

Combine like terms: 0 + -82 = -82
-2x + x2 = -82

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -82 + 1

Reorder the terms:
1 + -2x + x2 = -82 + 1

Combine like terms: -82 + 1 = -81
1 + -2x + x2 = -81

Factor a perfect square on the left side:
(x + -1)(x + -1) = -81

Can't calculate square root of the right side.

The solution to this equation could not be determined.