2w^2-5w=-33

Solution for 2w^2-5w=-33 equation:

Simplifying
2w2 + -5w = -33

Reorder the terms:
-5w + 2w2 = -33

Solving
-5w + 2w2 = -33

Solving for variable 'w'.

Reorder the terms:
33 + -5w + 2w2 = -33 + 33

Combine like terms: -33 + 33 = 0
33 + -5w + 2w2 = 0

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

Divide each side by '2'.
16.5 + -2.5w + w2 = 0

Move the constant term to the right:

Add '-16.5' to each side of the equation.
16.5 + -2.5w + -16.5 + w2 = 0 + -16.5

Reorder the terms:
16.5 + -16.5 + -2.5w + w2 = 0 + -16.5

Combine like terms: 16.5 + -16.5 = 0.0
0.0 + -2.5w + w2 = 0 + -16.5
-2.5w + w2 = 0 + -16.5

Combine like terms: 0 + -16.5 = -16.5
-2.5w + w2 = -16.5

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 = -16.5 + 1.5625

Reorder the terms:
1.5625 + -2.5w + w2 = -16.5 + 1.5625

Combine like terms: -16.5 + 1.5625 = -14.9375
1.5625 + -2.5w + w2 = -14.9375

Factor a perfect square on the left side:
(w + -1.25)(w + -1.25) = -14.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.