(1.32)(4-x)(1.8-x)=(x)(1.4+x)

Solution for (1.32)(4-x)(1.8-x)=(x)(1.4+x) equation:

Simplifying
(1.32)(4 + -1x)(1.8 + -1x) = (x)(1.4 + x)

Multiply (4 + -1x) * (1.8 + -1x)
1.32(4(1.8 + -1x) + -1x * (1.8 + -1x)) = (x)(1.4 + x)
1.32((1.8 * 4 + -1x * 4) + -1x * (1.8 + -1x)) = (x)(1.4 + x)
1.32((7.2 + -4x) + -1x * (1.8 + -1x)) = (x)(1.4 + x)
1.32(7.2 + -4x + (1.8 * -1x + -1x * -1x)) = (x)(1.4 + x)
1.32(7.2 + -4x + (-1.8x + 1x2)) = (x)(1.4 + x)

Combine like terms: -4x + -1.8x = -5.8x
1.32(7.2 + -5.8x + 1x2) = (x)(1.4 + x)
(7.2 * 1.32 + -5.8x * 1.32 + 1x2 * 1.32) = (x)(1.4 + x)
(9.504 + -7.656x + 1.32x2) = (x)(1.4 + x)
9.504 + -7.656x + 1.32x2 = (1.4 * x + x * x)
9.504 + -7.656x + 1.32x2 = (1.4x + x2)

Solving
9.504 + -7.656x + 1.32x2 = 1.4x + x2

Solving for variable 'x'.

Reorder the terms:
9.504 + -7.656x + -1.4x + 1.32x2 + -1x2 = 1.4x + x2 + -1.4x + -1x2

Combine like terms: -7.656x + -1.4x = -9.056x
9.504 + -9.056x + 1.32x2 + -1x2 = 1.4x + x2 + -1.4x + -1x2

Combine like terms: 1.32x2 + -1x2 = 0.32x2
9.504 + -9.056x + 0.32x2 = 1.4x + x2 + -1.4x + -1x2

Reorder the terms:
9.504 + -9.056x + 0.32x2 = 1.4x + -1.4x + x2 + -1x2

Combine like terms: 1.4x + -1.4x = 0.0
9.504 + -9.056x + 0.32x2 = 0.0 + x2 + -1x2
9.504 + -9.056x + 0.32x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9.504 + -9.056x + 0.32x2 = 0

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

Divide each side by '0.32'.
29.7 + -28.3x + x2 = 0

Move the constant term to the right:

Add '-29.7' to each side of the equation.
29.7 + -28.3x + -29.7 + x2 = 0 + -29.7

Reorder the terms:
29.7 + -29.7 + -28.3x + x2 = 0 + -29.7

Combine like terms: 29.7 + -29.7 = 0.0
0.0 + -28.3x + x2 = 0 + -29.7
-28.3x + x2 = 0 + -29.7

Combine like terms: 0 + -29.7 = -29.7
-28.3x + x2 = -29.7

The x term is -28.3x.  Take half its coefficient (-14.15).
Square it (200.2225) and add it to both sides.

Add '200.2225' to each side of the equation.
-28.3x + 200.2225 + x2 = -29.7 + 200.2225

Reorder the terms:
200.2225 + -28.3x + x2 = -29.7 + 200.2225

Combine like terms: -29.7 + 200.2225 = 170.5225
200.2225 + -28.3x + x2 = 170.5225

Factor a perfect square on the left side:
(x + -14.15)(x + -14.15) = 170.5225

Calculate the square root of the right side: 13.058426398

Break this problem into two subproblems by setting 
(x + -14.15) equal to 13.058426398 and -13.058426398.

Subproblem 1
x + -14.15 = 13.058426398

Simplifying
x + -14.15 = 13.058426398

Reorder the terms:
-14.15 + x = 13.058426398

Solving
-14.15 + x = 13.058426398

Solving for variable 'x'.

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

Add '14.15' to each side of the equation.
-14.15 + 14.15 + x = 13.058426398 + 14.15

Combine like terms: -14.15 + 14.15 = 0.00
0.00 + x = 13.058426398 + 14.15
x = 13.058426398 + 14.15

Combine like terms: 13.058426398 + 14.15 = 27.208426398
x = 27.208426398

Simplifying
x = 27.208426398

Subproblem 2
x + -14.15 = -13.058426398

Simplifying
x + -14.15 = -13.058426398

Reorder the terms:
-14.15 + x = -13.058426398

Solving
-14.15 + x = -13.058426398

Solving for variable 'x'.

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

Add '14.15' to each side of the equation.
-14.15 + 14.15 + x = -13.058426398 + 14.15

Combine like terms: -14.15 + 14.15 = 0.00
0.00 + x = -13.058426398 + 14.15
x = -13.058426398 + 14.15

Combine like terms: -13.058426398 + 14.15 = 1.091573602
x = 1.091573602

Simplifying
x = 1.091573602

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {27.208426398, 1.091573602}