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Simplifying 12xy + -18x + 6 + -8y = 0 Reorder the terms: 6 + -18x + 12xy + -8y = 0 Solving 6 + -18x + 12xy + -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 + 12xy + -6 + -8y = 0 + -6 Reorder the terms: 6 + -6 + -18x + 12xy + -8y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -18x + 12xy + -8y = 0 + -6 -18x + 12xy + -8y = 0 + -6 Combine like terms: 0 + -6 = -6 -18x + 12xy + -8y = -6 Add '8y' to each side of the equation. -18x + 12xy + -8y + 8y = -6 + 8y Combine like terms: -8y + 8y = 0 -18x + 12xy + 0 = -6 + 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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