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Simplifying (X + 3y)(6x + -1y) = 0 Multiply (X + 3y) * (6x + -1y) (X(6x + -1y) + 3y * (6x + -1y)) = 0 ((6x * X + -1y * X) + 3y * (6x + -1y)) = 0 ((6xX + -1yX) + 3y * (6x + -1y)) = 0 (6xX + -1yX + (6x * 3y + -1y * 3y)) = 0 (6xX + -1yX + (18xy + -3y2)) = 0 Reorder the terms: (6xX + 18xy + -1yX + -3y2) = 0 (6xX + 18xy + -1yX + -3y2) = 0 Solving 6xX + 18xy + -1yX + -3y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'yX' to each side of the equation. 6xX + 18xy + -1yX + yX + -3y2 = 0 + yX Combine like terms: -1yX + yX = 0 6xX + 18xy + 0 + -3y2 = 0 + yX 6xX + 18xy + -3y2 = 0 + yX Remove the zero: 6xX + 18xy + -3y2 = yX Add '3y2' to each side of the equation. 6xX + 18xy + -3y2 + 3y2 = yX + 3y2 Combine like terms: -3y2 + 3y2 = 0 6xX + 18xy + 0 = yX + 3y2 6xX + 18xy = yX + 3y2 Reorder the terms: 6xX + 18xy + -1yX + -3y2 = yX + -1yX + 3y2 + -3y2 Combine like terms: yX + -1yX = 0 6xX + 18xy + -1yX + -3y2 = 0 + 3y2 + -3y2 6xX + 18xy + -1yX + -3y2 = 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 6xX + 18xy + -1yX + -3y2 = 0 The solution to this equation could not be determined.
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