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Simplifying (X + 1)(2x + -1)(x + -3) = 0 Reorder the terms: (1 + X)(2x + -1)(x + -3) = 0 Reorder the terms: (1 + X)(-1 + 2x)(x + -3) = 0 Reorder the terms: (1 + X)(-1 + 2x)(-3 + x) = 0 Multiply (1 + X) * (-1 + 2x) (1(-1 + 2x) + X(-1 + 2x))(-3 + x) = 0 ((-1 * 1 + 2x * 1) + X(-1 + 2x))(-3 + x) = 0 ((-1 + 2x) + X(-1 + 2x))(-3 + x) = 0 (-1 + 2x + (-1 * X + 2x * X))(-3 + x) = 0 (-1 + 2x + (-1X + 2xX))(-3 + x) = 0 Reorder the terms: (-1 + -1X + 2x + 2xX)(-3 + x) = 0 (-1 + -1X + 2x + 2xX)(-3 + x) = 0 Multiply (-1 + -1X + 2x + 2xX) * (-3 + x) (-1(-3 + x) + -1X * (-3 + x) + 2x * (-3 + x) + 2xX * (-3 + x)) = 0 ((-3 * -1 + x * -1) + -1X * (-3 + x) + 2x * (-3 + x) + 2xX * (-3 + x)) = 0 ((3 + -1x) + -1X * (-3 + x) + 2x * (-3 + x) + 2xX * (-3 + x)) = 0 (3 + -1x + (-3 * -1X + x * -1X) + 2x * (-3 + x) + 2xX * (-3 + x)) = 0 (3 + -1x + (3X + -1xX) + 2x * (-3 + x) + 2xX * (-3 + x)) = 0 (3 + -1x + 3X + -1xX + (-3 * 2x + x * 2x) + 2xX * (-3 + x)) = 0 (3 + -1x + 3X + -1xX + (-6x + 2x2) + 2xX * (-3 + x)) = 0 (3 + -1x + 3X + -1xX + -6x + 2x2 + (-3 * 2xX + x * 2xX)) = 0 (3 + -1x + 3X + -1xX + -6x + 2x2 + (-6xX + 2x2X)) = 0 Reorder the terms: (3 + 3X + -1x + -6x + -1xX + -6xX + 2x2 + 2x2X) = 0 Combine like terms: -1x + -6x = -7x (3 + 3X + -7x + -1xX + -6xX + 2x2 + 2x2X) = 0 Combine like terms: -1xX + -6xX = -7xX (3 + 3X + -7x + -7xX + 2x2 + 2x2X) = 0 Solving 3 + 3X + -7x + -7xX + 2x2 + 2x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 3X + -7x + -7xX + 2x2 + -3 + 2x2X = 0 + -3 Reorder the terms: 3 + -3 + 3X + -7x + -7xX + 2x2 + 2x2X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3X + -7x + -7xX + 2x2 + 2x2X = 0 + -3 3X + -7x + -7xX + 2x2 + 2x2X = 0 + -3 Combine like terms: 0 + -3 = -3 3X + -7x + -7xX + 2x2 + 2x2X = -3 Add '7x' to each side of the equation. 3X + -7x + -7xX + 2x2 + 7x + 2x2X = -3 + 7x Reorder the terms: 3X + -7x + 7x + -7xX + 2x2 + 2x2X = -3 + 7x Combine like terms: -7x + 7x = 0 3X + 0 + -7xX + 2x2 + 2x2X = -3 + 7x 3X + -7xX + 2x2 + 2x2X = -3 + 7x Add '-2x2' to each side of the equation. 3X + -7xX + 2x2 + -2x2 + 2x2X = -3 + 7x + -2x2 Combine like terms: 2x2 + -2x2 = 0 3X + -7xX + 0 + 2x2X = -3 + 7x + -2x2 3X + -7xX + 2x2X = -3 + 7x + -2x2 Reorder the terms: 3 + 3X + -7x + -7xX + 2x2 + 2x2X = -3 + 7x + -2x2 + 3 + -7x + 2x2 Reorder the terms: 3 + 3X + -7x + -7xX + 2x2 + 2x2X = -3 + 3 + 7x + -7x + -2x2 + 2x2 Combine like terms: -3 + 3 = 0 3 + 3X + -7x + -7xX + 2x2 + 2x2X = 0 + 7x + -7x + -2x2 + 2x2 3 + 3X + -7x + -7xX + 2x2 + 2x2X = 7x + -7x + -2x2 + 2x2 Combine like terms: 7x + -7x = 0 3 + 3X + -7x + -7xX + 2x2 + 2x2X = 0 + -2x2 + 2x2 3 + 3X + -7x + -7xX + 2x2 + 2x2X = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 3 + 3X + -7x + -7xX + 2x2 + 2x2X = 0 The solution to this equation could not be determined.
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