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Simplifying 4xy + 6x + -6y = 10 Reorder the terms: 6x + 4xy + -6y = 10 Solving 6x + 4xy + -6y = 10 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 + 4xy + -6y + 6y = 10 + 6y Combine like terms: -6y + 6y = 0 6x + 4xy + 0 = 10 + 6y 6x + 4xy = 10 + 6y Reorder the terms: -10 + 6x + 4xy + -6y = 10 + 6y + -10 + -6y Reorder the terms: -10 + 6x + 4xy + -6y = 10 + -10 + 6y + -6y Combine like terms: 10 + -10 = 0 -10 + 6x + 4xy + -6y = 0 + 6y + -6y -10 + 6x + 4xy + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 -10 + 6x + 4xy + -6y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + 3x + 2xy + -3y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + 3x + 2xy + -3y)' equal to zero and attempt to solve: Simplifying -5 + 3x + 2xy + -3y = 0 Solving -5 + 3x + 2xy + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 3x + 2xy + 5 + -3y = 0 + 5 Reorder the terms: -5 + 5 + 3x + 2xy + -3y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3x + 2xy + -3y = 0 + 5 3x + 2xy + -3y = 0 + 5 Combine like terms: 0 + 5 = 5 3x + 2xy + -3y = 5 Add '3y' to each side of the equation. 3x + 2xy + -3y + 3y = 5 + 3y Combine like terms: -3y + 3y = 0 3x + 2xy + 0 = 5 + 3y 3x + 2xy = 5 + 3y 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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