2u^2+5u+22=0

Solution for 2u^2+5u+22=0 equation:

Simplifying
2u2 + 5u + 22 = 0

Reorder the terms:
22 + 5u + 2u2 = 0

Solving
22 + 5u + 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'.
11 + 2.5u + u2 = 0

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + 2.5u + -11 + u2 = 0 + -11

Reorder the terms:
11 + -11 + 2.5u + u2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2.5u + u2 = 0 + -11
2.5u + u2 = 0 + -11

Combine like terms: 0 + -11 = -11
2.5u + u2 = -11

The u term is 2.5u.  Take half its coefficient (1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
2.5u + 1.5625 + u2 = -11 + 1.5625

Reorder the terms:
1.5625 + 2.5u + u2 = -11 + 1.5625

Combine like terms: -11 + 1.5625 = -9.4375
1.5625 + 2.5u + u2 = -9.4375

Factor a perfect square on the left side:
(u + 1.25)(u + 1.25) = -9.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.