u^2+13u+102=0

Solution for u^2+13u+102=0 equation:

Simplifying
u2 + 13u + 102 = 0

Reorder the terms:
102 + 13u + u2 = 0

Solving
102 + 13u + u2 = 0

Solving for variable 'u'.

Begin completing the square.

Move the constant term to the right:

Add '-102' to each side of the equation.
102 + 13u + -102 + u2 = 0 + -102

Reorder the terms:
102 + -102 + 13u + u2 = 0 + -102

Combine like terms: 102 + -102 = 0
0 + 13u + u2 = 0 + -102
13u + u2 = 0 + -102

Combine like terms: 0 + -102 = -102
13u + u2 = -102

The u term is 13u.  Take half its coefficient (6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
13u + 42.25 + u2 = -102 + 42.25

Reorder the terms:
42.25 + 13u + u2 = -102 + 42.25

Combine like terms: -102 + 42.25 = -59.75
42.25 + 13u + u2 = -59.75

Factor a perfect square on the left side:
(u + 6.5)(u + 6.5) = -59.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.