-2u^2-44u+6=0

Solution for -2u^2-44u+6=0 equation:

Simplifying
-2u2 + -44u + 6 = 0

Reorder the terms:
6 + -44u + -2u2 = 0

Solving
6 + -44u + -2u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -22u + -1u2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -22u + -1u2)' equal to zero and attempt to solve:

Simplifying
3 + -22u + -1u2 = 0

Solving
3 + -22u + -1u2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-3 + 22u + u2 = 0

Move the constant term to the right:

Add '3' to each side of the equation.
-3 + 22u + 3 + u2 = 0 + 3

Reorder the terms:
-3 + 3 + 22u + u2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 22u + u2 = 0 + 3
22u + u2 = 0 + 3

Combine like terms: 0 + 3 = 3
22u + u2 = 3

The u term is 22u.  Take half its coefficient (11).
Square it (121) and add it to both sides.

Add '121' to each side of the equation.
22u + 121 + u2 = 3 + 121

Reorder the terms:
121 + 22u + u2 = 3 + 121

Combine like terms: 3 + 121 = 124
121 + 22u + u2 = 124

Factor a perfect square on the left side:
(u + 11)(u + 11) = 124

Calculate the square root of the right side: 11.135528726

Break this problem into two subproblems by setting 
(u + 11) equal to 11.135528726 and -11.135528726.

Subproblem 1
u + 11 = 11.135528726

Simplifying
u + 11 = 11.135528726

Reorder the terms:
11 + u = 11.135528726

Solving
11 + u = 11.135528726

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '-11' to each side of the equation.
11 + -11 + u = 11.135528726 + -11

Combine like terms: 11 + -11 = 0
0 + u = 11.135528726 + -11
u = 11.135528726 + -11

Combine like terms: 11.135528726 + -11 = 0.135528726
u = 0.135528726

Simplifying
u = 0.135528726

Subproblem 2
u + 11 = -11.135528726

Simplifying
u + 11 = -11.135528726

Reorder the terms:
11 + u = -11.135528726

Solving
11 + u = -11.135528726

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '-11' to each side of the equation.
11 + -11 + u = -11.135528726 + -11

Combine like terms: 11 + -11 = 0
0 + u = -11.135528726 + -11
u = -11.135528726 + -11

Combine like terms: -11.135528726 + -11 = -22.135528726
u = -22.135528726

Simplifying
u = -22.135528726

Solution
The solution to the problem is based on the solutions
from the subproblems.
u = {0.135528726, -22.135528726}
Solution
u = {0.135528726, -22.135528726}