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Simplifying 3xy + 2x + 4y + 2xy + 3x + y = 0 Reorder the terms: 2x + 3x + 3xy + 2xy + 4y + y = 0 Combine like terms: 2x + 3x = 5x 5x + 3xy + 2xy + 4y + y = 0 Combine like terms: 3xy + 2xy = 5xy 5x + 5xy + 4y + y = 0 Combine like terms: 4y + y = 5y 5x + 5xy + 5y = 0 Solving 5x + 5xy + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 5x + 5xy + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 5x + 5xy + 0 = 0 + -5y 5x + 5xy = 0 + -5y Remove the zero: 5x + 5xy = -5y Combine like terms: -5y + 5y = 0 5x + 5xy + 5y = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(x + xy + y) = 0 Ignore the factor 5.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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