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Simplifying xy + 2x + -3xy + -2y = 0 Reorder the terms: 2x + xy + -3xy + -2y = 0 Combine like terms: xy + -3xy = -2xy 2x + -2xy + -2y = 0 Solving 2x + -2xy + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 2x + -2xy + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 2x + -2xy + 0 = 0 + 2y 2x + -2xy = 0 + 2y Remove the zero: 2x + -2xy = 2y Combine like terms: 2y + -2y = 0 2x + -2xy + -2y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(x + -1xy + -1y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(x + -1xy + -1y)' equal to zero and attempt to solve: Simplifying 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. The solution to this equation could not be determined.
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