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Simplifying 24xy + -8y + 18x + -6 = 0 Reorder the terms: -6 + 18x + 24xy + -8y = 0 Solving -6 + 18x + 24xy + -8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 18x + 24xy + 6 + -8y = 0 + 6 Reorder the terms: -6 + 6 + 18x + 24xy + -8y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 18x + 24xy + -8y = 0 + 6 18x + 24xy + -8y = 0 + 6 Combine like terms: 0 + 6 = 6 18x + 24xy + -8y = 6 Add '8y' to each side of the equation. 18x + 24xy + -8y + 8y = 6 + 8y Combine like terms: -8y + 8y = 0 18x + 24xy + 0 = 6 + 8y 18x + 24xy = 6 + 8y Reorder the terms: -6 + 18x + 24xy + -8y = 6 + 8y + -6 + -8y Reorder the terms: -6 + 18x + 24xy + -8y = 6 + -6 + 8y + -8y Combine like terms: 6 + -6 = 0 -6 + 18x + 24xy + -8y = 0 + 8y + -8y -6 + 18x + 24xy + -8y = 8y + -8y Combine like terms: 8y + -8y = 0 -6 + 18x + 24xy + -8y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + 9x + 12xy + -4y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + 9x + 12xy + -4y)' equal to zero and attempt to solve: Simplifying -3 + 9x + 12xy + -4y = 0 Solving -3 + 9x + 12xy + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 9x + 12xy + 3 + -4y = 0 + 3 Reorder the terms: -3 + 3 + 9x + 12xy + -4y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 9x + 12xy + -4y = 0 + 3 9x + 12xy + -4y = 0 + 3 Combine like terms: 0 + 3 = 3 9x + 12xy + -4y = 3 Add '4y' to each side of the equation. 9x + 12xy + -4y + 4y = 3 + 4y Combine like terms: -4y + 4y = 0 9x + 12xy + 0 = 3 + 4y 9x + 12xy = 3 + 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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