u^2-16u+6=

Solution for u^2-16u+6= equation:

Simplifying
u2 + -16u + 6 = 0

Reorder the terms:
6 + -16u + u2 = 0

Solving
6 + -16u + u2 = 0

Solving for variable 'u'.

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -16u + -6 + u2 = 0 + -6

Reorder the terms:
6 + -6 + -16u + u2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -16u + u2 = 0 + -6
-16u + u2 = 0 + -6

Combine like terms: 0 + -6 = -6
-16u + u2 = -6

The u term is -16u.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16u + 64 + u2 = -6 + 64

Reorder the terms:
64 + -16u + u2 = -6 + 64

Combine like terms: -6 + 64 = 58
64 + -16u + u2 = 58

Factor a perfect square on the left side:
(u + -8)(u + -8) = 58

Calculate the square root of the right side: 7.615773106

Break this problem into two subproblems by setting 
(u + -8) equal to 7.615773106 and -7.615773106.

Subproblem 1
u + -8 = 7.615773106

Simplifying
u + -8 = 7.615773106

Reorder the terms:
-8 + u = 7.615773106

Solving
-8 + u = 7.615773106

Solving for variable 'u'.

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

Add '8' to each side of the equation.
-8 + 8 + u = 7.615773106 + 8

Combine like terms: -8 + 8 = 0
0 + u = 7.615773106 + 8
u = 7.615773106 + 8

Combine like terms: 7.615773106 + 8 = 15.615773106
u = 15.615773106

Simplifying
u = 15.615773106

Subproblem 2
u + -8 = -7.615773106

Simplifying
u + -8 = -7.615773106

Reorder the terms:
-8 + u = -7.615773106

Solving
-8 + u = -7.615773106

Solving for variable 'u'.

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

Add '8' to each side of the equation.
-8 + 8 + u = -7.615773106 + 8

Combine like terms: -8 + 8 = 0
0 + u = -7.615773106 + 8
u = -7.615773106 + 8

Combine like terms: -7.615773106 + 8 = 0.384226894
u = 0.384226894

Simplifying
u = 0.384226894

Solution
The solution to the problem is based on the solutions
from the subproblems.
u = {15.615773106, 0.384226894}