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