0=-2w^2+5w-52

Solution for 0=-2w^2+5w-52 equation:

Simplifying
0 = -2w2 + 5w + -52

Reorder the terms:
0 = -52 + 5w + -2w2

Solving
0 = -52 + 5w + -2w2

Solving for variable 'w'.

Combine like terms: 0 + 52 = 52
52 + -5w + 2w2 = -52 + 5w + -2w2 + 52 + -5w + 2w2

Reorder the terms:
52 + -5w + 2w2 = -52 + 52 + 5w + -5w + -2w2 + 2w2

Combine like terms: -52 + 52 = 0
52 + -5w + 2w2 = 0 + 5w + -5w + -2w2 + 2w2
52 + -5w + 2w2 = 5w + -5w + -2w2 + 2w2

Combine like terms: 5w + -5w = 0
52 + -5w + 2w2 = 0 + -2w2 + 2w2
52 + -5w + 2w2 = -2w2 + 2w2

Combine like terms: -2w2 + 2w2 = 0
52 + -5w + 2w2 = 0

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

Divide each side by '2'.
26 + -2.5w + w2 = 0

Move the constant term to the right:

Add '-26' to each side of the equation.
26 + -2.5w + -26 + w2 = 0 + -26

Reorder the terms:
26 + -26 + -2.5w + w2 = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -2.5w + w2 = 0 + -26
-2.5w + w2 = 0 + -26

Combine like terms: 0 + -26 = -26
-2.5w + w2 = -26

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 = -26 + 1.5625

Reorder the terms:
1.5625 + -2.5w + w2 = -26 + 1.5625

Combine like terms: -26 + 1.5625 = -24.4375
1.5625 + -2.5w + w2 = -24.4375

Factor a perfect square on the left side:
(w + -1.25)(w + -1.25) = -24.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.