x^2-2.6x+1.6=

Solution for x^2-2.6x+1.6= equation:

Simplifying
x2 + -2.6x + 1.6 = 0

Reorder the terms:
1.6 + -2.6x + x2 = 0

Solving
1.6 + -2.6x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-1.6' to each side of the equation.
1.6 + -2.6x + -1.6 + x2 = 0 + -1.6

Reorder the terms:
1.6 + -1.6 + -2.6x + x2 = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -2.6x + x2 = 0 + -1.6
-2.6x + x2 = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
-2.6x + x2 = -1.6

The x term is -2.6x.  Take half its coefficient (-1.3).
Square it (1.69) and add it to both sides.

Add '1.69' to each side of the equation.
-2.6x + 1.69 + x2 = -1.6 + 1.69

Reorder the terms:
1.69 + -2.6x + x2 = -1.6 + 1.69

Combine like terms: -1.6 + 1.69 = 0.09
1.69 + -2.6x + x2 = 0.09

Factor a perfect square on the left side:
(x + -1.3)(x + -1.3) = 0.09

Calculate the square root of the right side: 0.3

Break this problem into two subproblems by setting 
(x + -1.3) equal to 0.3 and -0.3.

Subproblem 1
x + -1.3 = 0.3

Simplifying
x + -1.3 = 0.3

Reorder the terms:
-1.3 + x = 0.3

Solving
-1.3 + x = 0.3

Solving for variable 'x'.

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

Add '1.3' to each side of the equation.
-1.3 + 1.3 + x = 0.3 + 1.3

Combine like terms: -1.3 + 1.3 = 0.0
0.0 + x = 0.3 + 1.3
x = 0.3 + 1.3

Combine like terms: 0.3 + 1.3 = 1.6
x = 1.6

Simplifying
x = 1.6

Subproblem 2
x + -1.3 = -0.3

Simplifying
x + -1.3 = -0.3

Reorder the terms:
-1.3 + x = -0.3

Solving
-1.3 + x = -0.3

Solving for variable 'x'.

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

Add '1.3' to each side of the equation.
-1.3 + 1.3 + x = -0.3 + 1.3

Combine like terms: -1.3 + 1.3 = 0.0
0.0 + x = -0.3 + 1.3
x = -0.3 + 1.3

Combine like terms: -0.3 + 1.3 = 1
x = 1

Simplifying
x = 1

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.6, 1}