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Simplifying 6xy + -12x + 8y + -28 = 0 Reorder the terms: -28 + -12x + 6xy + 8y = 0 Solving -28 + -12x + 6xy + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + -12x + 6xy + 28 + 8y = 0 + 28 Reorder the terms: -28 + 28 + -12x + 6xy + 8y = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -12x + 6xy + 8y = 0 + 28 -12x + 6xy + 8y = 0 + 28 Combine like terms: 0 + 28 = 28 -12x + 6xy + 8y = 28 Add '-8y' to each side of the equation. -12x + 6xy + 8y + -8y = 28 + -8y Combine like terms: 8y + -8y = 0 -12x + 6xy + 0 = 28 + -8y -12x + 6xy = 28 + -8y Reorder the terms: -28 + -12x + 6xy + 8y = 28 + -8y + -28 + 8y Reorder the terms: -28 + -12x + 6xy + 8y = 28 + -28 + -8y + 8y Combine like terms: 28 + -28 = 0 -28 + -12x + 6xy + 8y = 0 + -8y + 8y -28 + -12x + 6xy + 8y = -8y + 8y Combine like terms: -8y + 8y = 0 -28 + -12x + 6xy + 8y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-14 + -6x + 3xy + 4y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-14 + -6x + 3xy + 4y)' equal to zero and attempt to solve: Simplifying -14 + -6x + 3xy + 4y = 0 Solving -14 + -6x + 3xy + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + -6x + 3xy + 14 + 4y = 0 + 14 Reorder the terms: -14 + 14 + -6x + 3xy + 4y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -6x + 3xy + 4y = 0 + 14 -6x + 3xy + 4y = 0 + 14 Combine like terms: 0 + 14 = 14 -6x + 3xy + 4y = 14 Add '-4y' to each side of the equation. -6x + 3xy + 4y + -4y = 14 + -4y Combine like terms: 4y + -4y = 0 -6x + 3xy + 0 = 14 + -4y -6x + 3xy = 14 + -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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