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