x^2-18x+82=0

Solution for x^2-18x+82=0 equation:

Simplifying
x2 + -18x + 82 = 0

Reorder the terms:
82 + -18x + x2 = 0

Solving
82 + -18x + 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 + -18x + -82 + x2 = 0 + -82

Reorder the terms:
82 + -82 + -18x + x2 = 0 + -82

Combine like terms: 82 + -82 = 0
0 + -18x + x2 = 0 + -82
-18x + x2 = 0 + -82

Combine like terms: 0 + -82 = -82
-18x + x2 = -82

The x term is -18x.  Take half its coefficient (-9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
-18x + 81 + x2 = -82 + 81

Reorder the terms:
81 + -18x + x2 = -82 + 81

Combine like terms: -82 + 81 = -1
81 + -18x + x2 = -1

Factor a perfect square on the left side:
(x + -9)(x + -9) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.