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Simplifying 2xy(2x + -1y) = 0 (2x * 2xy + -1y * 2xy) = 0 Reorder the terms: (-2xy2 + 4x2y) = 0 (-2xy2 + 4x2y) = 0 Solving -2xy2 + 4x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(-1y + 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 '(-1y + 2x)' equal to zero and attempt to solve: Simplifying -1y + 2x = 0 Reorder the terms: 2x + -1y = 0 Solving 2x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 2x + -1y + y = 0 + y Combine like terms: -1y + y = 0 2x + 0 = 0 + y 2x = 0 + y Remove the zero: 2x = y Divide each side by '2'. x = 0.5y Simplifying x = 0.5ySolution
x = {0.5y}
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