x=(10*(1-x)-5)*50000*(1-x)-200000

Solution for x=(10*(1-x)-5)*50000*(1-x)-200000 equation:

Simplifying
x = (10(1 + -1x) + -5) * 50000(1 + -1x) + -200000
x = ((1 * 10 + -1x * 10) + -5) * 50000(1 + -1x) + -200000
x = ((10 + -10x) + -5) * 50000(1 + -1x) + -200000

Reorder the terms:
x = (10 + -5 + -10x) * 50000(1 + -1x) + -200000

Combine like terms: 10 + -5 = 5
x = (5 + -10x) * 50000(1 + -1x) + -200000

Reorder the terms for easier multiplication:
x = 50000(5 + -10x)(1 + -1x) + -200000

Multiply (5 + -10x) * (1 + -1x)
x = 50000(5(1 + -1x) + -10x * (1 + -1x)) + -200000
x = 50000((1 * 5 + -1x * 5) + -10x * (1 + -1x)) + -200000
x = 50000((5 + -5x) + -10x * (1 + -1x)) + -200000
x = 50000(5 + -5x + (1 * -10x + -1x * -10x)) + -200000
x = 50000(5 + -5x + (-10x + 10x2)) + -200000

Combine like terms: -5x + -10x = -15x
x = 50000(5 + -15x + 10x2) + -200000
x = (5 * 50000 + -15x * 50000 + 10x2 * 50000) + -200000
x = (250000 + -750000x + 500000x2) + -200000

Reorder the terms:
x = 250000 + -200000 + -750000x + 500000x2

Combine like terms: 250000 + -200000 = 50000
x = 50000 + -750000x + 500000x2

Solving
x = 50000 + -750000x + 500000x2

Solving for variable 'x'.

Reorder the terms:
-50000 + x + 750000x + -500000x2 = 50000 + -750000x + 500000x2 + -50000 + 750000x + -500000x2

Combine like terms: x + 750000x = 750001x
-50000 + 750001x + -500000x2 = 50000 + -750000x + 500000x2 + -50000 + 750000x + -500000x2

Reorder the terms:
-50000 + 750001x + -500000x2 = 50000 + -50000 + -750000x + 750000x + 500000x2 + -500000x2

Combine like terms: 50000 + -50000 = 0
-50000 + 750001x + -500000x2 = 0 + -750000x + 750000x + 500000x2 + -500000x2
-50000 + 750001x + -500000x2 = -750000x + 750000x + 500000x2 + -500000x2

Combine like terms: -750000x + 750000x = 0
-50000 + 750001x + -500000x2 = 0 + 500000x2 + -500000x2
-50000 + 750001x + -500000x2 = 500000x2 + -500000x2

Combine like terms: 500000x2 + -500000x2 = 0
-50000 + 750001x + -500000x2 = 0

Begin completing the square.  Divide all terms by
-500000 the coefficient of the squared term: 

Divide each side by '-500000'.
0.1 + -1.500002x + x2 = 0

Move the constant term to the right:

Add '-0.1' to each side of the equation.
0.1 + -1.500002x + -0.1 + x2 = 0 + -0.1

Reorder the terms:
0.1 + -0.1 + -1.500002x + x2 = 0 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + -1.500002x + x2 = 0 + -0.1
-1.500002x + x2 = 0 + -0.1

Combine like terms: 0 + -0.1 = -0.1
-1.500002x + x2 = -0.1

The x term is -1.500002x.  Take half its coefficient (-0.750001).
Square it (0.5625015000) and add it to both sides.

Add '0.5625015000' to each side of the equation.
-1.500002x + 0.5625015000 + x2 = -0.1 + 0.5625015000

Reorder the terms:
0.5625015000 + -1.500002x + x2 = -0.1 + 0.5625015000

Combine like terms: -0.1 + 0.5625015000 = 0.4625015
0.5625015000 + -1.500002x + x2 = 0.4625015

Factor a perfect square on the left side:
(x + -0.750001)(x + -0.750001) = 0.4625015

Calculate the square root of the right side: 0.680074628

Break this problem into two subproblems by setting 
(x + -0.750001) equal to 0.680074628 and -0.680074628.

Subproblem 1
x + -0.750001 = 0.680074628

Simplifying
x + -0.750001 = 0.680074628

Reorder the terms:
-0.750001 + x = 0.680074628

Solving
-0.750001 + x = 0.680074628

Solving for variable 'x'.

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

Add '0.750001' to each side of the equation.
-0.750001 + 0.750001 + x = 0.680074628 + 0.750001

Combine like terms: -0.750001 + 0.750001 = 0.000000
0.000000 + x = 0.680074628 + 0.750001
x = 0.680074628 + 0.750001

Combine like terms: 0.680074628 + 0.750001 = 1.430075628
x = 1.430075628

Simplifying
x = 1.430075628

Subproblem 2
x + -0.750001 = -0.680074628

Simplifying
x + -0.750001 = -0.680074628

Reorder the terms:
-0.750001 + x = -0.680074628

Solving
-0.750001 + x = -0.680074628

Solving for variable 'x'.

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

Add '0.750001' to each side of the equation.
-0.750001 + 0.750001 + x = -0.680074628 + 0.750001

Combine like terms: -0.750001 + 0.750001 = 0.000000
0.000000 + x = -0.680074628 + 0.750001
x = -0.680074628 + 0.750001

Combine like terms: -0.680074628 + 0.750001 = 0.069926372
x = 0.069926372

Simplifying
x = 0.069926372

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.430075628, 0.069926372}