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Simplifying 4xy(2x + -4y) = 0 (2x * 4xy + -4y * 4xy) = 0 Reorder the terms: (-16xy2 + 8x2y) = 0 (-16xy2 + 8x2y) = 0 Solving -16xy2 + 8x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8xy'. 8xy(-2y + x) = 0 Ignore the factor 8.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 '(-2y + x)' equal to zero and attempt to solve: Simplifying -2y + x = 0 Reorder the terms: x + -2y = 0 Solving x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 x + 0 = 0 + 2y x = 0 + 2y Remove the zero: x = 2y Simplifying x = 2ySolution
x = {2y}
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