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