25w^2-5w+22=0

Solution for 25w^2-5w+22=0 equation:

Simplifying
25w2 + -5w + 22 = 0

Reorder the terms:
22 + -5w + 25w2 = 0

Solving
22 + -5w + 25w2 = 0

Solving for variable 'w'.

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

Divide each side by '25'.
0.88 + -0.2w + w2 = 0

Move the constant term to the right:

Add '-0.88' to each side of the equation.
0.88 + -0.2w + -0.88 + w2 = 0 + -0.88

Reorder the terms:
0.88 + -0.88 + -0.2w + w2 = 0 + -0.88

Combine like terms: 0.88 + -0.88 = 0.00
0.00 + -0.2w + w2 = 0 + -0.88
-0.2w + w2 = 0 + -0.88

Combine like terms: 0 + -0.88 = -0.88
-0.2w + w2 = -0.88

The w term is -0.2w.  Take half its coefficient (-0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
-0.2w + 0.01 + w2 = -0.88 + 0.01

Reorder the terms:
0.01 + -0.2w + w2 = -0.88 + 0.01

Combine like terms: -0.88 + 0.01 = -0.87
0.01 + -0.2w + w2 = -0.87

Factor a perfect square on the left side:
(w + -0.1)(w + -0.1) = -0.87

Can't calculate square root of the right side.

The solution to this equation could not be determined.