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Simplifying (-3x + 2y + -3xy) + (2x + -3y + 2xy) = 0 Reorder the terms: (-3x + -3xy + 2y) + (2x + -3y + 2xy) = 0 Remove parenthesis around (-3x + -3xy + 2y) -3x + -3xy + 2y + (2x + -3y + 2xy) = 0 Reorder the terms: -3x + -3xy + 2y + (2x + 2xy + -3y) = 0 Remove parenthesis around (2x + 2xy + -3y) -3x + -3xy + 2y + 2x + 2xy + -3y = 0 Reorder the terms: -3x + 2x + -3xy + 2xy + 2y + -3y = 0 Combine like terms: -3x + 2x = -1x -1x + -3xy + 2xy + 2y + -3y = 0 Combine like terms: -3xy + 2xy = -1xy -1x + -1xy + 2y + -3y = 0 Combine like terms: 2y + -3y = -1y -1x + -1xy + -1y = 0 Solving -1x + -1xy + -1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. -1x + -1xy + -1y + y = 0 + y Combine like terms: -1y + y = 0 -1x + -1xy + 0 = 0 + y -1x + -1xy = 0 + y Remove the zero: -1x + -1xy = y Combine like terms: y + -1y = 0 -1x + -1xy + -1y = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(x + xy + y) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(x + xy + y)' equal to zero and attempt to solve: Simplifying x + xy + y = 0 Solving x + xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. x + xy + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 x + xy + 0 = 0 + -1y x + xy = 0 + -1y Remove the zero: x + xy = -1y 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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