(0.937)(0.4-x)(2.2-x)=(x)(1.6-x)

Solution for (0.937)(0.4-x)(2.2-x)=(x)(1.6-x) equation:

Simplifying
(0.937)(0.4 + -1x)(2.2 + -1x) = (x)(1.6 + -1x)

Multiply (0.4 + -1x) * (2.2 + -1x)
0.937(0.4(2.2 + -1x) + -1x * (2.2 + -1x)) = (x)(1.6 + -1x)
0.937((2.2 * 0.4 + -1x * 0.4) + -1x * (2.2 + -1x)) = (x)(1.6 + -1x)
0.937((0.88 + -0.4x) + -1x * (2.2 + -1x)) = (x)(1.6 + -1x)
0.937(0.88 + -0.4x + (2.2 * -1x + -1x * -1x)) = (x)(1.6 + -1x)
0.937(0.88 + -0.4x + (-2.2x + 1x2)) = (x)(1.6 + -1x)

Combine like terms: -0.4x + -2.2x = -2.6x
0.937(0.88 + -2.6x + 1x2) = (x)(1.6 + -1x)
(0.88 * 0.937 + -2.6x * 0.937 + 1x2 * 0.937) = (x)(1.6 + -1x)
(0.82456 + -2.4362x + 0.937x2) = (x)(1.6 + -1x)
0.82456 + -2.4362x + 0.937x2 = (1.6 * x + -1x * x)
0.82456 + -2.4362x + 0.937x2 = (1.6x + -1x2)

Solving
0.82456 + -2.4362x + 0.937x2 = 1.6x + -1x2

Solving for variable 'x'.

Reorder the terms:
0.82456 + -2.4362x + -1.6x + 0.937x2 + x2 = 1.6x + -1x2 + -1.6x + x2

Combine like terms: -2.4362x + -1.6x = -4.0362x
0.82456 + -4.0362x + 0.937x2 + x2 = 1.6x + -1x2 + -1.6x + x2

Combine like terms: 0.937x2 + x2 = 1.937x2
0.82456 + -4.0362x + 1.937x2 = 1.6x + -1x2 + -1.6x + x2

Reorder the terms:
0.82456 + -4.0362x + 1.937x2 = 1.6x + -1.6x + -1x2 + x2

Combine like terms: 1.6x + -1.6x = 0.0
0.82456 + -4.0362x + 1.937x2 = 0.0 + -1x2 + x2
0.82456 + -4.0362x + 1.937x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
0.82456 + -4.0362x + 1.937x2 = 0

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

Divide each side by '1.937'.
0.4256892101 + -2.083737739x + x2 = 0

Move the constant term to the right:

Add '-0.4256892101' to each side of the equation.
0.4256892101 + -2.083737739x + -0.4256892101 + x2 = 0 + -0.4256892101

Reorder the terms:
0.4256892101 + -0.4256892101 + -2.083737739x + x2 = 0 + -0.4256892101

Combine like terms: 0.4256892101 + -0.4256892101 = 0.0000000000
0.0000000000 + -2.083737739x + x2 = 0 + -0.4256892101
-2.083737739x + x2 = 0 + -0.4256892101

Combine like terms: 0 + -0.4256892101 = -0.4256892101
-2.083737739x + x2 = -0.4256892101

The x term is -2.083737739x.  Take half its coefficient (-1.04186887).
Square it (1.085490742) and add it to both sides.

Add '1.085490742' to each side of the equation.
-2.083737739x + 1.085490742 + x2 = -0.4256892101 + 1.085490742

Reorder the terms:
1.085490742 + -2.083737739x + x2 = -0.4256892101 + 1.085490742

Combine like terms: -0.4256892101 + 1.085490742 = 0.6598015319
1.085490742 + -2.083737739x + x2 = 0.6598015319

Factor a perfect square on the left side:
(x + -1.04186887)(x + -1.04186887) = 0.6598015319

Calculate the square root of the right side: 0.812281683

Break this problem into two subproblems by setting 
(x + -1.04186887) equal to 0.812281683 and -0.812281683.

Subproblem 1
x + -1.04186887 = 0.812281683

Simplifying
x + -1.04186887 = 0.812281683

Reorder the terms:
-1.04186887 + x = 0.812281683

Solving
-1.04186887 + x = 0.812281683

Solving for variable 'x'.

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

Add '1.04186887' to each side of the equation.
-1.04186887 + 1.04186887 + x = 0.812281683 + 1.04186887

Combine like terms: -1.04186887 + 1.04186887 = 0.00000000
0.00000000 + x = 0.812281683 + 1.04186887
x = 0.812281683 + 1.04186887

Combine like terms: 0.812281683 + 1.04186887 = 1.854150553
x = 1.854150553

Simplifying
x = 1.854150553

Subproblem 2
x + -1.04186887 = -0.812281683

Simplifying
x + -1.04186887 = -0.812281683

Reorder the terms:
-1.04186887 + x = -0.812281683

Solving
-1.04186887 + x = -0.812281683

Solving for variable 'x'.

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

Add '1.04186887' to each side of the equation.
-1.04186887 + 1.04186887 + x = -0.812281683 + 1.04186887

Combine like terms: -1.04186887 + 1.04186887 = 0.00000000
0.00000000 + x = -0.812281683 + 1.04186887
x = -0.812281683 + 1.04186887

Combine like terms: -0.812281683 + 1.04186887 = 0.229587187
x = 0.229587187

Simplifying
x = 0.229587187

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.854150553, 0.229587187}