2u^2+5u+69=0

Solution for 2u^2+5u+69=0 equation:

Simplifying
2u2 + 5u + 69 = 0

Reorder the terms:
69 + 5u + 2u2 = 0

Solving
69 + 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'.
34.5 + 2.5u + u2 = 0

Move the constant term to the right:

Add '-34.5' to each side of the equation.
34.5 + 2.5u + -34.5 + u2 = 0 + -34.5

Reorder the terms:
34.5 + -34.5 + 2.5u + u2 = 0 + -34.5

Combine like terms: 34.5 + -34.5 = 0.0
0.0 + 2.5u + u2 = 0 + -34.5
2.5u + u2 = 0 + -34.5

Combine like terms: 0 + -34.5 = -34.5
2.5u + u2 = -34.5

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 = -34.5 + 1.5625

Reorder the terms:
1.5625 + 2.5u + u2 = -34.5 + 1.5625

Combine like terms: -34.5 + 1.5625 = -32.9375
1.5625 + 2.5u + u2 = -32.9375

Factor a perfect square on the left side:
(u + 1.25)(u + 1.25) = -32.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.