2(0.5x-1)+2.2=2-0.4(x-1)x

Solution for 2(0.5x-1)+2.2=2-0.4(x-1)x equation:

Simplifying
2(0.5x + -1) + 2.2 = 2 + -0.4(x + -1) * x

Reorder the terms:
2(-1 + 0.5x) + 2.2 = 2 + -0.4(x + -1) * x
(-1 * 2 + 0.5x * 2) + 2.2 = 2 + -0.4(x + -1) * x
(-2 + 1x) + 2.2 = 2 + -0.4(x + -1) * x

Reorder the terms:
-2 + 2.2 + 1x = 2 + -0.4(x + -1) * x

Combine like terms: -2 + 2.2 = 0.2
0.2 + 1x = 2 + -0.4(x + -1) * x

Reorder the terms:
0.2 + 1x = 2 + -0.4(-1 + x) * x

Reorder the terms for easier multiplication:
0.2 + 1x = 2 + -0.4x(-1 + x)
0.2 + 1x = 2 + (-1 * -0.4x + x * -0.4x)
0.2 + 1x = 2 + (0.4x + -0.4x2)

Solving
0.2 + 1x = 2 + 0.4x + -0.4x2

Solving for variable 'x'.

Reorder the terms:
0.2 + -2 + 1x + -0.4x + 0.4x2 = 2 + 0.4x + -0.4x2 + -2 + -0.4x + 0.4x2

Combine like terms: 0.2 + -2 = -1.8
-1.8 + 1x + -0.4x + 0.4x2 = 2 + 0.4x + -0.4x2 + -2 + -0.4x + 0.4x2

Combine like terms: 1x + -0.4x = 0.6x
-1.8 + 0.6x + 0.4x2 = 2 + 0.4x + -0.4x2 + -2 + -0.4x + 0.4x2

Reorder the terms:
-1.8 + 0.6x + 0.4x2 = 2 + -2 + 0.4x + -0.4x + -0.4x2 + 0.4x2

Combine like terms: 2 + -2 = 0
-1.8 + 0.6x + 0.4x2 = 0 + 0.4x + -0.4x + -0.4x2 + 0.4x2
-1.8 + 0.6x + 0.4x2 = 0.4x + -0.4x + -0.4x2 + 0.4x2

Combine like terms: 0.4x + -0.4x = 0.0
-1.8 + 0.6x + 0.4x2 = 0.0 + -0.4x2 + 0.4x2
-1.8 + 0.6x + 0.4x2 = -0.4x2 + 0.4x2

Combine like terms: -0.4x2 + 0.4x2 = 0.0
-1.8 + 0.6x + 0.4x2 = 0.0

Begin completing the square.  Divide all terms by
0.4 the coefficient of the squared term: 

Divide each side by '0.4'.
-4.5 + 1.5x + x2 = 0

Move the constant term to the right:

Add '4.5' to each side of the equation.
-4.5 + 1.5x + 4.5 + x2 = 0 + 4.5

Reorder the terms:
-4.5 + 4.5 + 1.5x + x2 = 0 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + 1.5x + x2 = 0 + 4.5
1.5x + x2 = 0 + 4.5

Combine like terms: 0 + 4.5 = 4.5
1.5x + x2 = 4.5

The x term is 1.5x.  Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
1.5x + 0.5625 + x2 = 4.5 + 0.5625

Reorder the terms:
0.5625 + 1.5x + x2 = 4.5 + 0.5625

Combine like terms: 4.5 + 0.5625 = 5.0625
0.5625 + 1.5x + x2 = 5.0625

Factor a perfect square on the left side:
(x + 0.75)(x + 0.75) = 5.0625

Calculate the square root of the right side: 2.25

Break this problem into two subproblems by setting 
(x + 0.75) equal to 2.25 and -2.25.

Subproblem 1
x + 0.75 = 2.25

Simplifying
x + 0.75 = 2.25

Reorder the terms:
0.75 + x = 2.25

Solving
0.75 + x = 2.25

Solving for variable 'x'.

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

Add '-0.75' to each side of the equation.
0.75 + -0.75 + x = 2.25 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + x = 2.25 + -0.75
x = 2.25 + -0.75

Combine like terms: 2.25 + -0.75 = 1.5
x = 1.5

Simplifying
x = 1.5

Subproblem 2
x + 0.75 = -2.25

Simplifying
x + 0.75 = -2.25

Reorder the terms:
0.75 + x = -2.25

Solving
0.75 + x = -2.25

Solving for variable 'x'.

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

Add '-0.75' to each side of the equation.
0.75 + -0.75 + x = -2.25 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + x = -2.25 + -0.75
x = -2.25 + -0.75

Combine like terms: -2.25 + -0.75 = -3
x = -3

Simplifying
x = -3

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.5, -3}