u^2+11u+39=0

Solution for u^2+11u+39=0 equation:

Simplifying
u2 + 11u + 39 = 0

Reorder the terms:
39 + 11u + u2 = 0

Solving
39 + 11u + u2 = 0

Solving for variable 'u'.

Begin completing the square.

Move the constant term to the right:

Add '-39' to each side of the equation.
39 + 11u + -39 + u2 = 0 + -39

Reorder the terms:
39 + -39 + 11u + u2 = 0 + -39

Combine like terms: 39 + -39 = 0
0 + 11u + u2 = 0 + -39
11u + u2 = 0 + -39

Combine like terms: 0 + -39 = -39
11u + u2 = -39

The u term is 11u.  Take half its coefficient (5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
11u + 30.25 + u2 = -39 + 30.25

Reorder the terms:
30.25 + 11u + u2 = -39 + 30.25

Combine like terms: -39 + 30.25 = -8.75
30.25 + 11u + u2 = -8.75

Factor a perfect square on the left side:
(u + 5.5)(u + 5.5) = -8.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.