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Simplifying 36xy + 6x + 6y = 84 Reorder the terms: 6x + 36xy + 6y = 84 Solving 6x + 36xy + 6y = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 6x + 36xy + 6y + -6y = 84 + -6y Combine like terms: 6y + -6y = 0 6x + 36xy + 0 = 84 + -6y 6x + 36xy = 84 + -6y Reorder the terms: -84 + 6x + 36xy + 6y = 84 + -6y + -84 + 6y Reorder the terms: -84 + 6x + 36xy + 6y = 84 + -84 + -6y + 6y Combine like terms: 84 + -84 = 0 -84 + 6x + 36xy + 6y = 0 + -6y + 6y -84 + 6x + 36xy + 6y = -6y + 6y Combine like terms: -6y + 6y = 0 -84 + 6x + 36xy + 6y = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-14 + x + 6xy + y) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-14 + x + 6xy + y)' equal to zero and attempt to solve: Simplifying -14 + x + 6xy + y = 0 Solving -14 + x + 6xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + x + 6xy + 14 + y = 0 + 14 Reorder the terms: -14 + 14 + x + 6xy + y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + x + 6xy + y = 0 + 14 x + 6xy + y = 0 + 14 Combine like terms: 0 + 14 = 14 x + 6xy + y = 14 Add '-1y' to each side of the equation. x + 6xy + y + -1y = 14 + -1y Combine like terms: y + -1y = 0 x + 6xy + 0 = 14 + -1y x + 6xy = 14 + -1y 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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