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Simplifying (X + 2y)(3x + 4y) = 0 Multiply (X + 2y) * (3x + 4y) (X(3x + 4y) + 2y * (3x + 4y)) = 0 ((3x * X + 4y * X) + 2y * (3x + 4y)) = 0 ((3xX + 4yX) + 2y * (3x + 4y)) = 0 (3xX + 4yX + (3x * 2y + 4y * 2y)) = 0 (3xX + 4yX + (6xy + 8y2)) = 0 Reorder the terms: (3xX + 6xy + 4yX + 8y2) = 0 (3xX + 6xy + 4yX + 8y2) = 0 Solving 3xX + 6xy + 4yX + 8y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4yX' to each side of the equation. 3xX + 6xy + 4yX + -4yX + 8y2 = 0 + -4yX Combine like terms: 4yX + -4yX = 0 3xX + 6xy + 0 + 8y2 = 0 + -4yX 3xX + 6xy + 8y2 = 0 + -4yX Remove the zero: 3xX + 6xy + 8y2 = -4yX Add '-8y2' to each side of the equation. 3xX + 6xy + 8y2 + -8y2 = -4yX + -8y2 Combine like terms: 8y2 + -8y2 = 0 3xX + 6xy + 0 = -4yX + -8y2 3xX + 6xy = -4yX + -8y2 Reorder the terms: 3xX + 6xy + 4yX + 8y2 = -4yX + 4yX + -8y2 + 8y2 Combine like terms: -4yX + 4yX = 0 3xX + 6xy + 4yX + 8y2 = 0 + -8y2 + 8y2 3xX + 6xy + 4yX + 8y2 = -8y2 + 8y2 Combine like terms: -8y2 + 8y2 = 0 3xX + 6xy + 4yX + 8y2 = 0 The solution to this equation could not be determined.
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