-2W^2+5W-85.9=0

Solution for -2W^2+5W-85.9=0 equation:

Simplifying
-2W2 + 5W + -85.9 = 0

Reorder the terms:
-85.9 + 5W + -2W2 = 0

Solving
-85.9 + 5W + -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'.
42.95 + -2.5W + W2 = 0

Move the constant term to the right:

Add '-42.95' to each side of the equation.
42.95 + -2.5W + -42.95 + W2 = 0 + -42.95

Reorder the terms:
42.95 + -42.95 + -2.5W + W2 = 0 + -42.95

Combine like terms: 42.95 + -42.95 = 0.00
0.00 + -2.5W + W2 = 0 + -42.95
-2.5W + W2 = 0 + -42.95

Combine like terms: 0 + -42.95 = -42.95
-2.5W + W2 = -42.95

The W term is -2.5W.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5W + 1.5625 + W2 = -42.95 + 1.5625

Reorder the terms:
1.5625 + -2.5W + W2 = -42.95 + 1.5625

Combine like terms: -42.95 + 1.5625 = -41.3875
1.5625 + -2.5W + W2 = -41.3875

Factor a perfect square on the left side:
(W + -1.25)(W + -1.25) = -41.3875

Can't calculate square root of the right side.

The solution to this equation could not be determined.