950=1200*(1-2x)*(1-x)

Solution for 950=1200*(1-2x)*(1-x) equation:

Simplifying
950 = 1200(1 + -2x)(1 + -1x)

Multiply (1 + -2x) * (1 + -1x)
950 = 1200(1(1 + -1x) + -2x * (1 + -1x))
950 = 1200((1 * 1 + -1x * 1) + -2x * (1 + -1x))
950 = 1200((1 + -1x) + -2x * (1 + -1x))
950 = 1200(1 + -1x + (1 * -2x + -1x * -2x))
950 = 1200(1 + -1x + (-2x + 2x2))

Combine like terms: -1x + -2x = -3x
950 = 1200(1 + -3x + 2x2)
950 = (1 * 1200 + -3x * 1200 + 2x2 * 1200)
950 = (1200 + -3600x + 2400x2)

Solving
950 = 1200 + -3600x + 2400x2

Solving for variable 'x'.

Combine like terms: 950 + -1200 = -250
-250 + 3600x + -2400x2 = 1200 + -3600x + 2400x2 + -1200 + 3600x + -2400x2

Reorder the terms:
-250 + 3600x + -2400x2 = 1200 + -1200 + -3600x + 3600x + 2400x2 + -2400x2

Combine like terms: 1200 + -1200 = 0
-250 + 3600x + -2400x2 = 0 + -3600x + 3600x + 2400x2 + -2400x2
-250 + 3600x + -2400x2 = -3600x + 3600x + 2400x2 + -2400x2

Combine like terms: -3600x + 3600x = 0
-250 + 3600x + -2400x2 = 0 + 2400x2 + -2400x2
-250 + 3600x + -2400x2 = 2400x2 + -2400x2

Combine like terms: 2400x2 + -2400x2 = 0
-250 + 3600x + -2400x2 = 0

Factor out the Greatest Common Factor (GCF), '50'.
50(-5 + 72x + -48x2) = 0

Ignore the factor 50.
Subproblem 1
Set the factor '(-5 + 72x + -48x2)' equal to zero and attempt to solve:

Simplifying
-5 + 72x + -48x2 = 0

Solving
-5 + 72x + -48x2 = 0

Begin completing the square.  Divide all terms by
-48 the coefficient of the squared term: 

Divide each side by '-48'.
0.1041666667 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-0.1041666667' to each side of the equation.
0.1041666667 + -1.5x + -0.1041666667 + x2 = 0 + -0.1041666667

Reorder the terms:
0.1041666667 + -0.1041666667 + -1.5x + x2 = 0 + -0.1041666667

Combine like terms: 0.1041666667 + -0.1041666667 = 0.0000000000
0.0000000000 + -1.5x + x2 = 0 + -0.1041666667
-1.5x + x2 = 0 + -0.1041666667

Combine like terms: 0 + -0.1041666667 = -0.1041666667
-1.5x + x2 = -0.1041666667

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = -0.1041666667 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -0.1041666667 + 0.5625

Combine like terms: -0.1041666667 + 0.5625 = 0.4583333333
0.5625 + -1.5x + x2 = 0.4583333333

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = 0.4583333333

Calculate the square root of the right side: 0.6770032

Break this problem into two subproblems by setting 
(x + -0.75) equal to 0.6770032 and -0.6770032.

Subproblem 1
x + -0.75 = 0.6770032

Simplifying
x + -0.75 = 0.6770032

Reorder the terms:
-0.75 + x = 0.6770032

Solving
-0.75 + x = 0.6770032

Solving for variable 'x'.

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

Add '0.75' to each side of the equation.
-0.75 + 0.75 + x = 0.6770032 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + x = 0.6770032 + 0.75
x = 0.6770032 + 0.75

Combine like terms: 0.6770032 + 0.75 = 1.4270032
x = 1.4270032

Simplifying
x = 1.4270032

Subproblem 2
x + -0.75 = -0.6770032

Simplifying
x + -0.75 = -0.6770032

Reorder the terms:
-0.75 + x = -0.6770032

Solving
-0.75 + x = -0.6770032

Solving for variable 'x'.

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

Add '0.75' to each side of the equation.
-0.75 + 0.75 + x = -0.6770032 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + x = -0.6770032 + 0.75
x = -0.6770032 + 0.75

Combine like terms: -0.6770032 + 0.75 = 0.0729968
x = 0.0729968

Simplifying
x = 0.0729968

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.4270032, 0.0729968}
Solution
x = {1.4270032, 0.0729968}