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