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Simplifying (X + 2y)(2x + 3) = 0 Reorder the terms: (X + 2y)(3 + 2x) = 0 Multiply (X + 2y) * (3 + 2x) (X(3 + 2x) + 2y * (3 + 2x)) = 0 ((3 * X + 2x * X) + 2y * (3 + 2x)) = 0 ((3X + 2xX) + 2y * (3 + 2x)) = 0 (3X + 2xX + (3 * 2y + 2x * 2y)) = 0 Reorder the terms: (3X + 2xX + (4xy + 6y)) = 0 (3X + 2xX + (4xy + 6y)) = 0 (3X + 2xX + 4xy + 6y) = 0 Solving 3X + 2xX + 4xy + 6y = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4xy' to each side of the equation. 3X + 2xX + 4xy + -4xy + 6y = 0 + -4xy Combine like terms: 4xy + -4xy = 0 3X + 2xX + 0 + 6y = 0 + -4xy 3X + 2xX + 6y = 0 + -4xy Remove the zero: 3X + 2xX + 6y = -4xy Add '-6y' to each side of the equation. 3X + 2xX + 6y + -6y = -4xy + -6y Combine like terms: 6y + -6y = 0 3X + 2xX + 0 = -4xy + -6y 3X + 2xX = -4xy + -6y Reorder the terms: 3X + 2xX + 4xy + 6y = -4xy + 4xy + -6y + 6y Combine like terms: -4xy + 4xy = 0 3X + 2xX + 4xy + 6y = 0 + -6y + 6y 3X + 2xX + 4xy + 6y = -6y + 6y Combine like terms: -6y + 6y = 0 3X + 2xX + 4xy + 6y = 0 The solution to this equation could not be determined.
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