(1-x)(2.6-x)=0

Solution for (1-x)(2.6-x)=0 equation:

Simplifying
(1 + -1x)(2.6 + -1x) = 0

Multiply (1 + -1x) * (2.6 + -1x)
(1(2.6 + -1x) + -1x * (2.6 + -1x)) = 0
((2.6 * 1 + -1x * 1) + -1x * (2.6 + -1x)) = 0
((2.6 + -1x) + -1x * (2.6 + -1x)) = 0
(2.6 + -1x + (2.6 * -1x + -1x * -1x)) = 0
(2.6 + -1x + (-2.6x + 1x2)) = 0

Combine like terms: -1x + -2.6x = -3.6x
(2.6 + -3.6x + 1x2) = 0

Solving
2.6 + -3.6x + 1x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-2.6' to each side of the equation.
2.6 + -3.6x + -2.6 + x2 = 0 + -2.6

Reorder the terms:
2.6 + -2.6 + -3.6x + x2 = 0 + -2.6

Combine like terms: 2.6 + -2.6 = 0.0
0.0 + -3.6x + x2 = 0 + -2.6
-3.6x + x2 = 0 + -2.6

Combine like terms: 0 + -2.6 = -2.6
-3.6x + x2 = -2.6

The x term is -3.6x.  Take half its coefficient (-1.8).
Square it (3.24) and add it to both sides.

Add '3.24' to each side of the equation.
-3.6x + 3.24 + x2 = -2.6 + 3.24

Reorder the terms:
3.24 + -3.6x + x2 = -2.6 + 3.24

Combine like terms: -2.6 + 3.24 = 0.64
3.24 + -3.6x + x2 = 0.64

Factor a perfect square on the left side:
(x + -1.8)(x + -1.8) = 0.64

Calculate the square root of the right side: 0.8

Break this problem into two subproblems by setting 
(x + -1.8) equal to 0.8 and -0.8.

Subproblem 1
x + -1.8 = 0.8

Simplifying
x + -1.8 = 0.8

Reorder the terms:
-1.8 + x = 0.8

Solving
-1.8 + x = 0.8

Solving for variable 'x'.

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

Add '1.8' to each side of the equation.
-1.8 + 1.8 + x = 0.8 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + x = 0.8 + 1.8
x = 0.8 + 1.8

Combine like terms: 0.8 + 1.8 = 2.6
x = 2.6

Simplifying
x = 2.6

Subproblem 2
x + -1.8 = -0.8

Simplifying
x + -1.8 = -0.8

Reorder the terms:
-1.8 + x = -0.8

Solving
-1.8 + x = -0.8

Solving for variable 'x'.

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

Add '1.8' to each side of the equation.
-1.8 + 1.8 + x = -0.8 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + x = -0.8 + 1.8
x = -0.8 + 1.8

Combine like terms: -0.8 + 1.8 = 1
x = 1

Simplifying
x = 1

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.6, 1}