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