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Simplifying 3xy + 5x + 2 + 3y + 1x + 4 = 0 Reorder the terms: 2 + 4 + 5x + 1x + 3xy + 3y = 0 Combine like terms: 2 + 4 = 6 6 + 5x + 1x + 3xy + 3y = 0 Combine like terms: 5x + 1x = 6x 6 + 6x + 3xy + 3y = 0 Solving 6 + 6x + 3xy + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 6x + 3xy + -6 + 3y = 0 + -6 Reorder the terms: 6 + -6 + 6x + 3xy + 3y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 6x + 3xy + 3y = 0 + -6 6x + 3xy + 3y = 0 + -6 Combine like terms: 0 + -6 = -6 6x + 3xy + 3y = -6 Add '-3y' to each side of the equation. 6x + 3xy + 3y + -3y = -6 + -3y Combine like terms: 3y + -3y = 0 6x + 3xy + 0 = -6 + -3y 6x + 3xy = -6 + -3y Reorder the terms: 6 + 6x + 3xy + 3y = -6 + -3y + 6 + 3y Reorder the terms: 6 + 6x + 3xy + 3y = -6 + 6 + -3y + 3y Combine like terms: -6 + 6 = 0 6 + 6x + 3xy + 3y = 0 + -3y + 3y 6 + 6x + 3xy + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 6 + 6x + 3xy + 3y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(2 + 2x + xy + y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + 2x + xy + y)' equal to zero and attempt to solve: Simplifying 2 + 2x + xy + y = 0 Solving 2 + 2x + xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2x + xy + -2 + y = 0 + -2 Reorder the terms: 2 + -2 + 2x + xy + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2x + xy + y = 0 + -2 2x + xy + y = 0 + -2 Combine like terms: 0 + -2 = -2 2x + xy + y = -2 Add '-1y' to each side of the equation. 2x + xy + y + -1y = -2 + -1y Combine like terms: y + -1y = 0 2x + xy + 0 = -2 + -1y 2x + xy = -2 + -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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