x=(12-2x)(9-2x)(x)

Solution for x=(12-2x)(9-2x)(x) equation:

Simplifying
x = (12 + -2x)(9 + -2x)(x)

Reorder the terms for easier multiplication:
x = x(12 + -2x)(9 + -2x)

Multiply (12 + -2x) * (9 + -2x)
x = x(12(9 + -2x) + -2x * (9 + -2x))
x = x((9 * 12 + -2x * 12) + -2x * (9 + -2x))
x = x((108 + -24x) + -2x * (9 + -2x))
x = x(108 + -24x + (9 * -2x + -2x * -2x))
x = x(108 + -24x + (-18x + 4x2))

Combine like terms: -24x + -18x = -42x
x = x(108 + -42x + 4x2)
x = (108 * x + -42x * x + 4x2 * x)
x = (108x + -42x2 + 4x3)

Solving
x = 108x + -42x2 + 4x3

Solving for variable 'x'.

Combine like terms: x + -108x = -107x
-107x + 42x2 + -4x3 = 108x + -42x2 + 4x3 + -108x + 42x2 + -4x3

Reorder the terms:
-107x + 42x2 + -4x3 = 108x + -108x + -42x2 + 42x2 + 4x3 + -4x3

Combine like terms: 108x + -108x = 0
-107x + 42x2 + -4x3 = 0 + -42x2 + 42x2 + 4x3 + -4x3
-107x + 42x2 + -4x3 = -42x2 + 42x2 + 4x3 + -4x3

Combine like terms: -42x2 + 42x2 = 0
-107x + 42x2 + -4x3 = 0 + 4x3 + -4x3
-107x + 42x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-107x + 42x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-107 + 42x + -4x2) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-107 + 42x + -4x2)' equal to zero and attempt to solve:

Simplifying
-107 + 42x + -4x2 = 0

Solving
-107 + 42x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
26.75 + -10.5x + x2 = 0

Move the constant term to the right:

Add '-26.75' to each side of the equation.
26.75 + -10.5x + -26.75 + x2 = 0 + -26.75

Reorder the terms:
26.75 + -26.75 + -10.5x + x2 = 0 + -26.75

Combine like terms: 26.75 + -26.75 = 0.00
0.00 + -10.5x + x2 = 0 + -26.75
-10.5x + x2 = 0 + -26.75

Combine like terms: 0 + -26.75 = -26.75
-10.5x + x2 = -26.75

The x term is -10.5x.  Take half its coefficient (-5.25).
Square it (27.5625) and add it to both sides.

Add '27.5625' to each side of the equation.
-10.5x + 27.5625 + x2 = -26.75 + 27.5625

Reorder the terms:
27.5625 + -10.5x + x2 = -26.75 + 27.5625

Combine like terms: -26.75 + 27.5625 = 0.8125
27.5625 + -10.5x + x2 = 0.8125

Factor a perfect square on the left side:
(x + -5.25)(x + -5.25) = 0.8125

Calculate the square root of the right side: 0.901387819

Break this problem into two subproblems by setting 
(x + -5.25) equal to 0.901387819 and -0.901387819.

Subproblem 1
x + -5.25 = 0.901387819

Simplifying
x + -5.25 = 0.901387819

Reorder the terms:
-5.25 + x = 0.901387819

Solving
-5.25 + x = 0.901387819

Solving for variable 'x'.

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

Add '5.25' to each side of the equation.
-5.25 + 5.25 + x = 0.901387819 + 5.25

Combine like terms: -5.25 + 5.25 = 0.00
0.00 + x = 0.901387819 + 5.25
x = 0.901387819 + 5.25

Combine like terms: 0.901387819 + 5.25 = 6.151387819
x = 6.151387819

Simplifying
x = 6.151387819

Subproblem 2
x + -5.25 = -0.901387819

Simplifying
x + -5.25 = -0.901387819

Reorder the terms:
-5.25 + x = -0.901387819

Solving
-5.25 + x = -0.901387819

Solving for variable 'x'.

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

Add '5.25' to each side of the equation.
-5.25 + 5.25 + x = -0.901387819 + 5.25

Combine like terms: -5.25 + 5.25 = 0.00
0.00 + x = -0.901387819 + 5.25
x = -0.901387819 + 5.25

Combine like terms: -0.901387819 + 5.25 = 4.348612181
x = 4.348612181

Simplifying
x = 4.348612181

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.151387819, 4.348612181}
Solution
x = {0, 6.151387819, 4.348612181}