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Simplifying 3x(4 + y) + -6(4 + y) = 0 (4 * 3x + y * 3x) + -6(4 + y) = 0 (12x + 3xy) + -6(4 + y) = 0 12x + 3xy + (4 * -6 + y * -6) = 0 12x + 3xy + (-24 + -6y) = 0 Reorder the terms: -24 + 12x + 3xy + -6y = 0 Solving -24 + 12x + 3xy + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 12x + 3xy + 24 + -6y = 0 + 24 Reorder the terms: -24 + 24 + 12x + 3xy + -6y = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 12x + 3xy + -6y = 0 + 24 12x + 3xy + -6y = 0 + 24 Combine like terms: 0 + 24 = 24 12x + 3xy + -6y = 24 Add '6y' to each side of the equation. 12x + 3xy + -6y + 6y = 24 + 6y Combine like terms: -6y + 6y = 0 12x + 3xy + 0 = 24 + 6y 12x + 3xy = 24 + 6y Reorder the terms: -24 + 12x + 3xy + -6y = 24 + 6y + -24 + -6y Reorder the terms: -24 + 12x + 3xy + -6y = 24 + -24 + 6y + -6y Combine like terms: 24 + -24 = 0 -24 + 12x + 3xy + -6y = 0 + 6y + -6y -24 + 12x + 3xy + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 -24 + 12x + 3xy + -6y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-8 + 4x + xy + -2y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-8 + 4x + xy + -2y)' equal to zero and attempt to solve: Simplifying -8 + 4x + xy + -2y = 0 Solving -8 + 4x + xy + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 4x + xy + 8 + -2y = 0 + 8 Reorder the terms: -8 + 8 + 4x + xy + -2y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4x + xy + -2y = 0 + 8 4x + xy + -2y = 0 + 8 Combine like terms: 0 + 8 = 8 4x + xy + -2y = 8 Add '2y' to each side of the equation. 4x + xy + -2y + 2y = 8 + 2y Combine like terms: -2y + 2y = 0 4x + xy + 0 = 8 + 2y 4x + xy = 8 + 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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