u^2+5u+12=0

Solution for u^2+5u+12=0 equation:

Simplifying
u2 + 5u + 12 = 0

Reorder the terms:
12 + 5u + u2 = 0

Solving
12 + 5u + u2 = 0

Solving for variable 'u'.

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + 5u + -12 + u2 = 0 + -12

Reorder the terms:
12 + -12 + 5u + u2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 5u + u2 = 0 + -12
5u + u2 = 0 + -12

Combine like terms: 0 + -12 = -12
5u + u2 = -12

The u term is 5u.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5u + 6.25 + u2 = -12 + 6.25

Reorder the terms:
6.25 + 5u + u2 = -12 + 6.25

Combine like terms: -12 + 6.25 = -5.75
6.25 + 5u + u2 = -5.75

Factor a perfect square on the left side:
(u + 2.5)(u + 2.5) = -5.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.