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Simplifying 2x + 6y * 3x + -6y = 0 Reorder the terms for easier multiplication: 2x + 6 * 3y * x + -6y = 0 Multiply 6 * 3 2x + 18y * x + -6y = 0 Multiply y * x 2x + 18xy + -6y = 0 Solving 2x + 18xy + -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. 2x + 18xy + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 2x + 18xy + 0 = 0 + 6y 2x + 18xy = 0 + 6y Remove the zero: 2x + 18xy = 6y Combine like terms: 6y + -6y = 0 2x + 18xy + -6y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(x + 9xy + -3y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(x + 9xy + -3y)' equal to zero and attempt to solve: Simplifying x + 9xy + -3y = 0 Solving x + 9xy + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. x + 9xy + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 x + 9xy + 0 = 0 + 3y x + 9xy = 0 + 3y Remove the zero: x + 9xy = 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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