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Simplifying 5 + -3xy + 3x + 3y + -2 = 0 Reorder the terms: 5 + -2 + 3x + -3xy + 3y = 0 Combine like terms: 5 + -2 = 3 3 + 3x + -3xy + 3y = 0 Solving 3 + 3x + -3xy + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 3x + -3xy + -3 + 3y = 0 + -3 Reorder the terms: 3 + -3 + 3x + -3xy + 3y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3x + -3xy + 3y = 0 + -3 3x + -3xy + 3y = 0 + -3 Combine like terms: 0 + -3 = -3 3x + -3xy + 3y = -3 Add '-3y' to each side of the equation. 3x + -3xy + 3y + -3y = -3 + -3y Combine like terms: 3y + -3y = 0 3x + -3xy + 0 = -3 + -3y 3x + -3xy = -3 + -3y Reorder the terms: 3 + 3x + -3xy + 3y = -3 + -3y + 3 + 3y Reorder the terms: 3 + 3x + -3xy + 3y = -3 + 3 + -3y + 3y Combine like terms: -3 + 3 = 0 3 + 3x + -3xy + 3y = 0 + -3y + 3y 3 + 3x + -3xy + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 3 + 3x + -3xy + 3y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(1 + x + -1xy + y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + x + -1xy + y)' equal to zero and attempt to solve: Simplifying 1 + x + -1xy + y = 0 Solving 1 + x + -1xy + 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 + -1xy + -1 + y = 0 + -1 Reorder the terms: 1 + -1 + x + -1xy + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x + -1xy + y = 0 + -1 x + -1xy + y = 0 + -1 Combine like terms: 0 + -1 = -1 x + -1xy + y = -1 Add '-1y' to each side of the equation. x + -1xy + y + -1y = -1 + -1y Combine like terms: y + -1y = 0 x + -1xy + 0 = -1 + -1y x + -1xy = -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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