x^2-16x+5=

Solution for x^2-16x+5= equation:

Simplifying
x2 + -16x + 5 = 0

Reorder the terms:
5 + -16x + x2 = 0

Solving
5 + -16x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -16x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + -16x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -16x + x2 = 0 + -5
-16x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-16x + x2 = -5

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

Add '64' to each side of the equation.
-16x + 64 + x2 = -5 + 64

Reorder the terms:
64 + -16x + x2 = -5 + 64

Combine like terms: -5 + 64 = 59
64 + -16x + x2 = 59

Factor a perfect square on the left side:
(x + -8)(x + -8) = 59

Calculate the square root of the right side: 7.681145748

Break this problem into two subproblems by setting 
(x + -8) equal to 7.681145748 and -7.681145748.

Subproblem 1
x + -8 = 7.681145748

Simplifying
x + -8 = 7.681145748

Reorder the terms:
-8 + x = 7.681145748

Solving
-8 + x = 7.681145748

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + x = 7.681145748 + 8

Combine like terms: -8 + 8 = 0
0 + x = 7.681145748 + 8
x = 7.681145748 + 8

Combine like terms: 7.681145748 + 8 = 15.681145748
x = 15.681145748

Simplifying
x = 15.681145748

Subproblem 2
x + -8 = -7.681145748

Simplifying
x + -8 = -7.681145748

Reorder the terms:
-8 + x = -7.681145748

Solving
-8 + x = -7.681145748

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + x = -7.681145748 + 8

Combine like terms: -8 + 8 = 0
0 + x = -7.681145748 + 8
x = -7.681145748 + 8

Combine like terms: -7.681145748 + 8 = 0.318854252
x = 0.318854252

Simplifying
x = 0.318854252

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {15.681145748, 0.318854252}