w^2-18w+82=0

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

Simplifying
w2 + -18w + 82 = 0

Reorder the terms:
82 + -18w + w2 = 0

Solving
82 + -18w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-82' to each side of the equation.
82 + -18w + -82 + w2 = 0 + -82

Reorder the terms:
82 + -82 + -18w + w2 = 0 + -82

Combine like terms: 82 + -82 = 0
0 + -18w + w2 = 0 + -82
-18w + w2 = 0 + -82

Combine like terms: 0 + -82 = -82
-18w + w2 = -82

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

Add '81' to each side of the equation.
-18w + 81 + w2 = -82 + 81

Reorder the terms:
81 + -18w + w2 = -82 + 81

Combine like terms: -82 + 81 = -1
81 + -18w + w2 = -1

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.