2w^2-3w+65=0

Solution for 2w^2-3w+65=0 equation:

Simplifying
2w2 + -3w + 65 = 0

Reorder the terms:
65 + -3w + 2w2 = 0

Solving
65 + -3w + 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'.
32.5 + -1.5w + w2 = 0

Move the constant term to the right:

Add '-32.5' to each side of the equation.
32.5 + -1.5w + -32.5 + w2 = 0 + -32.5

Reorder the terms:
32.5 + -32.5 + -1.5w + w2 = 0 + -32.5

Combine like terms: 32.5 + -32.5 = 0.0
0.0 + -1.5w + w2 = 0 + -32.5
-1.5w + w2 = 0 + -32.5

Combine like terms: 0 + -32.5 = -32.5
-1.5w + w2 = -32.5

The w term is -1.5w.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5w + 0.5625 + w2 = -32.5 + 0.5625

Reorder the terms:
0.5625 + -1.5w + w2 = -32.5 + 0.5625

Combine like terms: -32.5 + 0.5625 = -31.9375
0.5625 + -1.5w + w2 = -31.9375

Factor a perfect square on the left side:
(w + -0.75)(w + -0.75) = -31.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.