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Simplifying -2x(2xy + 2y + -2x) = 0 Reorder the terms: -2x(-2x + 2xy + 2y) = 0 (-2x * -2x + 2xy * -2x + 2y * -2x) = 0 Reorder the terms: (-4xy + 4x2 + -4x2y) = 0 (-4xy + 4x2 + -4x2y) = 0 Solving -4xy + 4x2 + -4x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(-1y + x + -1xy) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1y + x + -1xy)' equal to zero and attempt to solve: Simplifying -1y + x + -1xy = 0 Reorder the terms: x + -1xy + -1y = 0 Solving x + -1xy + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. x + -1xy + -1y + y = 0 + y Combine like terms: -1y + y = 0 x + -1xy + 0 = 0 + y x + -1xy = 0 + y Remove the zero: x + -1xy = y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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