109.3*1000*1000=.9*x*420*350*325*325*(1-12.3529x)

Solution for 109.3*1000*1000=.9*x*420*350*325*325*(1-12.3529x) equation:

Simplifying
109.3 * 1000 * 1000 = 0.9x * 420 * 350 * 325 * 325(1 + -12.3529x)

Multiply 109.3 * 1000
109300 * 1000 = 0.9x * 420 * 350 * 325 * 325(1 + -12.3529x)

Multiply 109300 * 1000
109300000 = 0.9x * 420 * 350 * 325 * 325(1 + -12.3529x)

Reorder the terms for easier multiplication:
109300000 = 0.9 * 420 * 350 * 325 * 325x(1 + -12.3529x)

Multiply 0.9 * 420
109300000 = 378 * 350 * 325 * 325x(1 + -12.3529x)

Multiply 378 * 350
109300000 = 132300 * 325 * 325x(1 + -12.3529x)

Multiply 132300 * 325
109300000 = 42997500 * 325x(1 + -12.3529x)

Multiply 42997500 * 325
109300000 = 13974187500x(1 + -12.3529x)
109300000 = (1 * 13974187500x + -12.3529x * 13974187500x)
109300000 = (13974187500x + -172621740800x2)

Solving
109300000 = 13974187500x + -172621740800x2

Solving for variable 'x'.

Reorder the terms:
109300000 + -13974187500x + 172621740800x2 = 13974187500x + -13974187500x + -172621740800x2 + 172621740800x2

Combine like terms: 13974187500x + -13974187500x = 0
109300000 + -13974187500x + 172621740800x2 = 0 + -172621740800x2 + 172621740800x2
109300000 + -13974187500x + 172621740800x2 = -172621740800x2 + 172621740800x2

Combine like terms: -172621740800x2 + 172621740800x2 = 0
109300000 + -13974187500x + 172621740800x2 = 0

Factor out the Greatest Common Factor (GCF), '100'.
100(1093000 + -139741875x + 1726217408x2) = 0

Ignore the factor 100.
Subproblem 1
Set the factor '(1093000 + -139741875x + 1726217408x2)' equal to zero and attempt to solve:

Simplifying
1093000 + -139741875x + 1726217408x2 = 0

Solving
1093000 + -139741875x + 1726217408x2 = 0

Begin completing the square.  Divide all terms by
1726217408 the coefficient of the squared term: 

Divide each side by '1726217408'.
0.0006331763282 + -0.08095265078x + x2 = 0

Move the constant term to the right:

Add '-0.0006331763282' to each side of the equation.
0.0006331763282 + -0.08095265078x + -0.0006331763282 + x2 = 0 + -0.0006331763282

Reorder the terms:
0.0006331763282 + -0.0006331763282 + -0.08095265078x + x2 = 0 + -0.0006331763282

Combine like terms: 0.0006331763282 + -0.0006331763282 = 0.0000000000000
0.0000000000000 + -0.08095265078x + x2 = 0 + -0.0006331763282
-0.08095265078x + x2 = 0 + -0.0006331763282

Combine like terms: 0 + -0.0006331763282 = -0.0006331763282
-0.08095265078x + x2 = -0.0006331763282

The x term is -0.08095265078x.  Take half its coefficient (-0.04047632539).
Square it (0.001638332917) and add it to both sides.

Add '0.001638332917' to each side of the equation.
-0.08095265078x + 0.001638332917 + x2 = -0.0006331763282 + 0.001638332917

Reorder the terms:
0.001638332917 + -0.08095265078x + x2 = -0.0006331763282 + 0.001638332917

Combine like terms: -0.0006331763282 + 0.001638332917 = 0.0010051565888
0.001638332917 + -0.08095265078x + x2 = 0.0010051565888

Factor a perfect square on the left side:
(x + -0.04047632539)(x + -0.04047632539) = 0.0010051565888

Calculate the square root of the right side: 0.031704205

Break this problem into two subproblems by setting 
(x + -0.04047632539) equal to 0.031704205 and -0.031704205.

Subproblem 1
x + -0.04047632539 = 0.031704205

Simplifying
x + -0.04047632539 = 0.031704205

Reorder the terms:
-0.04047632539 + x = 0.031704205

Solving
-0.04047632539 + x = 0.031704205

Solving for variable 'x'.

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

Add '0.04047632539' to each side of the equation.
-0.04047632539 + 0.04047632539 + x = 0.031704205 + 0.04047632539

Combine like terms: -0.04047632539 + 0.04047632539 = 0.00000000000
0.00000000000 + x = 0.031704205 + 0.04047632539
x = 0.031704205 + 0.04047632539

Combine like terms: 0.031704205 + 0.04047632539 = 0.07218053039
x = 0.07218053039

Simplifying
x = 0.07218053039

Subproblem 2
x + -0.04047632539 = -0.031704205

Simplifying
x + -0.04047632539 = -0.031704205

Reorder the terms:
-0.04047632539 + x = -0.031704205

Solving
-0.04047632539 + x = -0.031704205

Solving for variable 'x'.

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

Add '0.04047632539' to each side of the equation.
-0.04047632539 + 0.04047632539 + x = -0.031704205 + 0.04047632539

Combine like terms: -0.04047632539 + 0.04047632539 = 0.00000000000
0.00000000000 + x = -0.031704205 + 0.04047632539
x = -0.031704205 + 0.04047632539

Combine like terms: -0.031704205 + 0.04047632539 = 0.00877212039
x = 0.00877212039

Simplifying
x = 0.00877212039

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.07218053039, 0.00877212039}
Solution
x = {0.07218053039, 0.00877212039}