u^2+3u+5=0

Solution for u^2+3u+5=0 equation:

Simplifying
u2 + 3u + 5 = 0

Reorder the terms:
5 + 3u + u2 = 0

Solving
5 + 3u + u2 = 0

Solving for variable 'u'.

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 3u + -5 + u2 = 0 + -5

Reorder the terms:
5 + -5 + 3u + u2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3u + u2 = 0 + -5
3u + u2 = 0 + -5

Combine like terms: 0 + -5 = -5
3u + u2 = -5

The u term is 3u.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3u + 2.25 + u2 = -5 + 2.25

Reorder the terms:
2.25 + 3u + u2 = -5 + 2.25

Combine like terms: -5 + 2.25 = -2.75
2.25 + 3u + u2 = -2.75

Factor a perfect square on the left side:
(u + 1.5)(u + 1.5) = -2.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.