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Simplifying 4x + 6y + 2xy = 12 Reorder the terms: 4x + 2xy + 6y = 12 Solving 4x + 2xy + 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. 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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