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