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