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Simplifying 12x + 18xy + -24y = 0 Solving 12x + 18xy + -24y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24y' to each side of the equation. 12x + 18xy + -24y + 24y = 0 + 24y Combine like terms: -24y + 24y = 0 12x + 18xy + 0 = 0 + 24y 12x + 18xy = 0 + 24y Remove the zero: 12x + 18xy = 24y Combine like terms: 24y + -24y = 0 12x + 18xy + -24y = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(2x + 3xy + -4y) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(2x + 3xy + -4y)' equal to zero and attempt to solve: Simplifying 2x + 3xy + -4y = 0 Solving 2x + 3xy + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 2x + 3xy + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 2x + 3xy + 0 = 0 + 4y 2x + 3xy = 0 + 4y Remove the zero: 2x + 3xy = 4y 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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