2u^2-15u+37=0

Solution for 2u^2-15u+37=0 equation:

Simplifying
2u2 + -15u + 37 = 0

Reorder the terms:
37 + -15u + 2u2 = 0

Solving
37 + -15u + 2u2 = 0

Solving for variable 'u'.

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

Divide each side by '2'.
18.5 + -7.5u + u2 = 0

Move the constant term to the right:

Add '-18.5' to each side of the equation.
18.5 + -7.5u + -18.5 + u2 = 0 + -18.5

Reorder the terms:
18.5 + -18.5 + -7.5u + u2 = 0 + -18.5

Combine like terms: 18.5 + -18.5 = 0.0
0.0 + -7.5u + u2 = 0 + -18.5
-7.5u + u2 = 0 + -18.5

Combine like terms: 0 + -18.5 = -18.5
-7.5u + u2 = -18.5

The u term is -7.5u.  Take half its coefficient (-3.75).
Square it (14.0625) and add it to both sides.

Add '14.0625' to each side of the equation.
-7.5u + 14.0625 + u2 = -18.5 + 14.0625

Reorder the terms:
14.0625 + -7.5u + u2 = -18.5 + 14.0625

Combine like terms: -18.5 + 14.0625 = -4.4375
14.0625 + -7.5u + u2 = -4.4375

Factor a perfect square on the left side:
(u + -3.75)(u + -3.75) = -4.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.