x(2-2x)=800

Solution for x(2-2x)=800 equation:

Simplifying
x(2 + -2x) = 800
(2 * x + -2x * x) = 800
(2x + -2x2) = 800

Solving
2x + -2x2 = 800

Solving for variable 'x'.

Reorder the terms:
-800 + 2x + -2x2 = 800 + -800

Combine like terms: 800 + -800 = 0
-800 + 2x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-400 + x + -1x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-400 + x + -1x2)' equal to zero and attempt to solve:

Simplifying
-400 + x + -1x2 = 0

Solving
-400 + x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
400 + -1x + x2 = 0

Move the constant term to the right:

Add '-400' to each side of the equation.
400 + -1x + -400 + x2 = 0 + -400

Reorder the terms:
400 + -400 + -1x + x2 = 0 + -400

Combine like terms: 400 + -400 = 0
0 + -1x + x2 = 0 + -400
-1x + x2 = 0 + -400

Combine like terms: 0 + -400 = -400
-1x + x2 = -400

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -400 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -400 + 0.25

Combine like terms: -400 + 0.25 = -399.75
0.25 + -1x + x2 = -399.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -399.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.