2u^2+1u+1=0

Solution for 2u^2+1u+1=0 equation:

Simplifying
2u2 + 1u + 1 = 0

Reorder the terms:
1 + 1u + 2u2 = 0

Solving
1 + 1u + 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'.
0.5 + 0.5u + u2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + 0.5u + -0.5 + u2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + 0.5u + u2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.5u + u2 = 0 + -0.5
0.5u + u2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
0.5u + u2 = -0.5

The u term is 0.5u.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5u + 0.0625 + u2 = -0.5 + 0.0625

Reorder the terms:
0.0625 + 0.5u + u2 = -0.5 + 0.0625

Combine like terms: -0.5 + 0.0625 = -0.4375
0.0625 + 0.5u + u2 = -0.4375

Factor a perfect square on the left side:
(u + 0.25)(u + 0.25) = -0.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.