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Simplifying x + y + xy + yx + x + y = 0 Reorder the terms: x + x + xy + xy + y + y = 0 Combine like terms: x + x = 2x 2x + xy + xy + y + y = 0 Combine like terms: xy + xy = 2xy 2x + 2xy + y + y = 0 Combine like terms: y + y = 2y 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 + xy + y) = 0 Ignore the factor 2.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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