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