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Simplifying 3xy + 6yx + -6x + 6y = 12 Reorder the terms: -6x + 3xy + 6xy + 6y = 12 Combine like terms: 3xy + 6xy = 9xy -6x + 9xy + 6y = 12 Solving -6x + 9xy + 6y = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. -6x + 9xy + 6y + -6y = 12 + -6y Combine like terms: 6y + -6y = 0 -6x + 9xy + 0 = 12 + -6y -6x + 9xy = 12 + -6y Reorder the terms: -12 + -6x + 9xy + 6y = 12 + -6y + -12 + 6y Reorder the terms: -12 + -6x + 9xy + 6y = 12 + -12 + -6y + 6y Combine like terms: 12 + -12 = 0 -12 + -6x + 9xy + 6y = 0 + -6y + 6y -12 + -6x + 9xy + 6y = -6y + 6y Combine like terms: -6y + 6y = 0 -12 + -6x + 9xy + 6y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4 + -2x + 3xy + 2y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + -2x + 3xy + 2y)' equal to zero and attempt to solve: Simplifying -4 + -2x + 3xy + 2y = 0 Solving -4 + -2x + 3xy + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -2x + 3xy + 4 + 2y = 0 + 4 Reorder the terms: -4 + 4 + -2x + 3xy + 2y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -2x + 3xy + 2y = 0 + 4 -2x + 3xy + 2y = 0 + 4 Combine like terms: 0 + 4 = 4 -2x + 3xy + 2y = 4 Add '-2y' to each side of the equation. -2x + 3xy + 2y + -2y = 4 + -2y Combine like terms: 2y + -2y = 0 -2x + 3xy + 0 = 4 + -2y -2x + 3xy = 4 + -2y 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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