2w^2-2w+41=0

Solution for 2w^2-2w+41=0 equation:

Simplifying
2w2 + -2w + 41 = 0

Reorder the terms:
41 + -2w + 2w2 = 0

Solving
41 + -2w + 2w2 = 0

Solving for variable 'w'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
20.5 + -1w + w2 = 0

Move the constant term to the right:

Add '-20.5' to each side of the equation.
20.5 + -1w + -20.5 + w2 = 0 + -20.5

Reorder the terms:
20.5 + -20.5 + -1w + w2 = 0 + -20.5

Combine like terms: 20.5 + -20.5 = 0.0
0.0 + -1w + w2 = 0 + -20.5
-1w + w2 = 0 + -20.5

Combine like terms: 0 + -20.5 = -20.5
-1w + w2 = -20.5

The w term is -1w.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1w + 0.25 + w2 = -20.5 + 0.25

Reorder the terms:
0.25 + -1w + w2 = -20.5 + 0.25

Combine like terms: -20.5 + 0.25 = -20.25
0.25 + -1w + w2 = -20.25

Factor a perfect square on the left side:
(w + -0.5)(w + -0.5) = -20.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.