-2w^2+7w-72=0

Solution for -2w^2+7w-72=0 equation:

Simplifying
-2w2 + 7w + -72 = 0

Reorder the terms:
-72 + 7w + -2w2 = 0

Solving
-72 + 7w + -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'.
36 + -3.5w + w2 = 0

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + -3.5w + -36 + w2 = 0 + -36

Reorder the terms:
36 + -36 + -3.5w + w2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -3.5w + w2 = 0 + -36
-3.5w + w2 = 0 + -36

Combine like terms: 0 + -36 = -36
-3.5w + w2 = -36

The w term is -3.5w.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5w + 3.0625 + w2 = -36 + 3.0625

Reorder the terms:
3.0625 + -3.5w + w2 = -36 + 3.0625

Combine like terms: -36 + 3.0625 = -32.9375
3.0625 + -3.5w + w2 = -32.9375

Factor a perfect square on the left side:
(w + -1.75)(w + -1.75) = -32.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.