-2xy(1-2x-y)=

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Solution for -2xy(1-2x-y)= equation: 


Simplifying
-2xy(1 + -2x + -1y) = 0
(1 * -2xy + -2x * -2xy + -1y * -2xy) = 0

Reorder the terms:
(-2xy + 2xy2 + 4x2y) = 0
(-2xy + 2xy2 + 4x2y) = 0

Solving
-2xy + 2xy2 + 4x2y = 0

Solving for variable 'x'.

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

Ignore the factor 2.

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

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 0

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(-1 + y + 2x)' equal to zero and attempt to solve:

Simplifying
-1 + y + 2x = 0

Reorder the terms:
-1 + 2x + y = 0

Solving
-1 + 2x + y = 0

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

Add '1' to each side of the equation.
-1 + 2x + 1 + y = 0 + 1

Reorder the terms:
-1 + 1 + 2x + y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2x + y = 0 + 1
2x + y = 0 + 1

Combine like terms: 0 + 1 = 1
2x + y = 1

Add '-1y' to each side of the equation.
2x + y + -1y = 1 + -1y

Combine like terms: y + -1y = 0
2x + 0 = 1 + -1y
2x = 1 + -1y

Divide each side by '2'.
x = 0.5 + -0.5y

Simplifying
x = 0.5 + -0.5y
Solution
x = {0.5 + -0.5y}

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