4w^2-4w+5=0

Solution for 4w^2-4w+5=0 equation:

Simplifying
4w2 + -4w + 5 = 0

Reorder the terms:
5 + -4w + 4w2 = 0

Solving
5 + -4w + 4w2 = 0

Solving for variable 'w'.

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

Divide each side by '4'.
1.25 + -1w + w2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -1w + -1.25 + w2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -1w + w2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -1w + w2 = 0 + -1.25
-1w + w2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-1w + w2 = -1.25

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 = -1.25 + 0.25

Reorder the terms:
0.25 + -1w + w2 = -1.25 + 0.25

Combine like terms: -1.25 + 0.25 = -1
0.25 + -1w + w2 = -1

Factor a perfect square on the left side:
(w + -0.5)(w + -0.5) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.