0=5w^2-2w+88

Solution for 0=5w^2-2w+88 equation:

Simplifying
0 = 5w2 + -2w + 88

Reorder the terms:
0 = 88 + -2w + 5w2

Solving
0 = 88 + -2w + 5w2

Solving for variable 'w'.

Combine like terms: 0 + -88 = -88
-88 + 2w + -5w2 = 88 + -2w + 5w2 + -88 + 2w + -5w2

Reorder the terms:
-88 + 2w + -5w2 = 88 + -88 + -2w + 2w + 5w2 + -5w2

Combine like terms: 88 + -88 = 0
-88 + 2w + -5w2 = 0 + -2w + 2w + 5w2 + -5w2
-88 + 2w + -5w2 = -2w + 2w + 5w2 + -5w2

Combine like terms: -2w + 2w = 0
-88 + 2w + -5w2 = 0 + 5w2 + -5w2
-88 + 2w + -5w2 = 5w2 + -5w2

Combine like terms: 5w2 + -5w2 = 0
-88 + 2w + -5w2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
17.6 + -0.4w + w2 = 0

Move the constant term to the right:

Add '-17.6' to each side of the equation.
17.6 + -0.4w + -17.6 + w2 = 0 + -17.6

Reorder the terms:
17.6 + -17.6 + -0.4w + w2 = 0 + -17.6

Combine like terms: 17.6 + -17.6 = 0.0
0.0 + -0.4w + w2 = 0 + -17.6
-0.4w + w2 = 0 + -17.6

Combine like terms: 0 + -17.6 = -17.6
-0.4w + w2 = -17.6

The w term is -0.4w.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4w + 0.04 + w2 = -17.6 + 0.04

Reorder the terms:
0.04 + -0.4w + w2 = -17.6 + 0.04

Combine like terms: -17.6 + 0.04 = -17.56
0.04 + -0.4w + w2 = -17.56

Factor a perfect square on the left side:
(w + -0.2)(w + -0.2) = -17.56

Can't calculate square root of the right side.

The solution to this equation could not be determined.