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