x^2+1.68=2.6x

Solution for x^2+1.68=2.6x equation:

Simplifying
x2 + 1.68 = 2.6x

Reorder the terms:
1.68 + x2 = 2.6x

Solving
1.68 + x2 = 2.6x

Solving for variable 'x'.

Reorder the terms:
1.68 + -2.6x + x2 = 2.6x + -2.6x

Combine like terms: 2.6x + -2.6x = 0.0
1.68 + -2.6x + x2 = 0.0

Begin completing the square.

Move the constant term to the right:

Add '-1.68' to each side of the equation.
1.68 + -2.6x + -1.68 + x2 = 0.0 + -1.68

Reorder the terms:
1.68 + -1.68 + -2.6x + x2 = 0.0 + -1.68

Combine like terms: 1.68 + -1.68 = 0.00
0.00 + -2.6x + x2 = 0.0 + -1.68
-2.6x + x2 = 0.0 + -1.68

Combine like terms: 0.0 + -1.68 = -1.68
-2.6x + x2 = -1.68

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 = -1.68 + 1.69

Reorder the terms:
1.69 + -2.6x + x2 = -1.68 + 1.69

Combine like terms: -1.68 + 1.69 = 0.01
1.69 + -2.6x + x2 = 0.01

Factor a perfect square on the left side:
(x + -1.3)(x + -1.3) = 0.01

Calculate the square root of the right side: 0.1

Break this problem into two subproblems by setting 
(x + -1.3) equal to 0.1 and -0.1.

Subproblem 1
x + -1.3 = 0.1

Simplifying
x + -1.3 = 0.1

Reorder the terms:
-1.3 + x = 0.1

Solving
-1.3 + x = 0.1

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 = 0.1 + 1.3

Combine like terms: -1.3 + 1.3 = 0.0
0.0 + x = 0.1 + 1.3
x = 0.1 + 1.3

Combine like terms: 0.1 + 1.3 = 1.4
x = 1.4

Simplifying
x = 1.4

Subproblem 2
x + -1.3 = -0.1

Simplifying
x + -1.3 = -0.1

Reorder the terms:
-1.3 + x = -0.1

Solving
-1.3 + x = -0.1

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 = -0.1 + 1.3

Combine like terms: -1.3 + 1.3 = 0.0
0.0 + x = -0.1 + 1.3
x = -0.1 + 1.3

Combine like terms: -0.1 + 1.3 = 1.2
x = 1.2

Simplifying
x = 1.2

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.4, 1.2}