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Simplifying (X + 1)(x + -1)(x2 + 4) = 0 Reorder the terms: (1 + X)(x + -1)(x2 + 4) = 0 Reorder the terms: (1 + X)(-1 + x)(x2 + 4) = 0 Reorder the terms: (1 + X)(-1 + x)(4 + x2) = 0 Multiply (1 + X) * (-1 + x) (1(-1 + x) + X(-1 + x))(4 + x2) = 0 ((-1 * 1 + x * 1) + X(-1 + x))(4 + x2) = 0 ((-1 + 1x) + X(-1 + x))(4 + x2) = 0 (-1 + 1x + (-1 * X + x * X))(4 + x2) = 0 (-1 + 1x + (-1X + xX))(4 + x2) = 0 Reorder the terms: (-1 + -1X + 1x + xX)(4 + x2) = 0 (-1 + -1X + 1x + xX)(4 + x2) = 0 Multiply (-1 + -1X + 1x + xX) * (4 + x2) (-1(4 + x2) + -1X * (4 + x2) + 1x * (4 + x2) + xX(4 + x2)) = 0 ((4 * -1 + x2 * -1) + -1X * (4 + x2) + 1x * (4 + x2) + xX(4 + x2)) = 0 ((-4 + -1x2) + -1X * (4 + x2) + 1x * (4 + x2) + xX(4 + x2)) = 0 (-4 + -1x2 + (4 * -1X + x2 * -1X) + 1x * (4 + x2) + xX(4 + x2)) = 0 (-4 + -1x2 + (-4X + -1x2X) + 1x * (4 + x2) + xX(4 + x2)) = 0 (-4 + -1x2 + -4X + -1x2X + (4 * 1x + x2 * 1x) + xX(4 + x2)) = 0 (-4 + -1x2 + -4X + -1x2X + (4x + 1x3) + xX(4 + x2)) = 0 (-4 + -1x2 + -4X + -1x2X + 4x + 1x3 + (4 * xX + x2 * xX)) = 0 (-4 + -1x2 + -4X + -1x2X + 4x + 1x3 + (4xX + x3X)) = 0 Reorder the terms: (-4 + -4X + 4x + 4xX + -1x2 + -1x2X + 1x3 + x3X) = 0 (-4 + -4X + 4x + 4xX + -1x2 + -1x2X + 1x3 + x3X) = 0 Solving -4 + -4X + 4x + 4xX + -1x2 + -1x2X + 1x3 + x3X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -4X + 4x + 4xX + -1x2 + -1x2X + 1x3 + 4 + x3X = 0 + 4 Reorder the terms: -4 + 4 + -4X + 4x + 4xX + -1x2 + -1x2X + 1x3 + x3X = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -4X + 4x + 4xX + -1x2 + -1x2X + 1x3 + x3X = 0 + 4 -4X + 4x + 4xX + -1x2 + -1x2X + 1x3 + x3X = 0 + 4 Combine like terms: 0 + 4 = 4 -4X + 4x + 4xX + -1x2 + -1x2X + 1x3 + x3X = 4 Add '-4x' to each side of the equation. -4X + 4x + 4xX + -1x2 + -1x2X + 1x3 + -4x + x3X = 4 + -4x Reorder the terms: -4X + 4x + -4x + 4xX + -1x2 + -1x2X + 1x3 + x3X = 4 + -4x Combine like terms: 4x + -4x = 0 -4X + 0 + 4xX + -1x2 + -1x2X + 1x3 + x3X = 4 + -4x -4X + 4xX + -1x2 + -1x2X + 1x3 + x3X = 4 + -4x Add 'x2' to each side of the equation. -4X + 4xX + -1x2 + -1x2X + 1x3 + x2 + x3X = 4 + -4x + x2 Reorder the terms: -4X + 4xX + -1x2 + x2 + -1x2X + 1x3 + x3X = 4 + -4x + x2 Combine like terms: -1x2 + x2 = 0 -4X + 4xX + 0 + -1x2X + 1x3 + x3X = 4 + -4x + x2 -4X + 4xX + -1x2X + 1x3 + x3X = 4 + -4x + x2 Add '-1x3' to each side of the equation. -4X + 4xX + -1x2X + 1x3 + -1x3 + x3X = 4 + -4x + x2 + -1x3 Combine like terms: 1x3 + -1x3 = 0 -4X + 4xX + -1x2X + 0 + x3X = 4 + -4x + x2 + -1x3 -4X + 4xX + -1x2X + x3X = 4 + -4x + x2 + -1x3 Reorder the terms: -4 + -4X + 4x + 4xX + -1x2 + -1x2X + x3 + x3X = 4 + -4x + x2 + -1x3 + -4 + 4x + -1x2 + x3 Reorder the terms: -4 + -4X + 4x + 4xX + -1x2 + -1x2X + x3 + x3X = 4 + -4 + -4x + 4x + x2 + -1x2 + -1x3 + x3 Combine like terms: 4 + -4 = 0 -4 + -4X + 4x + 4xX + -1x2 + -1x2X + x3 + x3X = 0 + -4x + 4x + x2 + -1x2 + -1x3 + x3 -4 + -4X + 4x + 4xX + -1x2 + -1x2X + x3 + x3X = -4x + 4x + x2 + -1x2 + -1x3 + x3 Combine like terms: -4x + 4x = 0 -4 + -4X + 4x + 4xX + -1x2 + -1x2X + x3 + x3X = 0 + x2 + -1x2 + -1x3 + x3 -4 + -4X + 4x + 4xX + -1x2 + -1x2X + x3 + x3X = x2 + -1x2 + -1x3 + x3 Combine like terms: x2 + -1x2 = 0 -4 + -4X + 4x + 4xX + -1x2 + -1x2X + x3 + x3X = 0 + -1x3 + x3 -4 + -4X + 4x + 4xX + -1x2 + -1x2X + x3 + x3X = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 -4 + -4X + 4x + 4xX + -1x2 + -1x2X + x3 + x3X = 0 The solution to this equation could not be determined.
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