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Simplifying (X + -1)(x2 + -1x + -8) = 0 Reorder the terms: (-1 + X)(x2 + -1x + -8) = 0 Reorder the terms: (-1 + X)(-8 + -1x + x2) = 0 Multiply (-1 + X) * (-8 + -1x + x2) (-1(-8 + -1x + x2) + X(-8 + -1x + x2)) = 0 ((-8 * -1 + -1x * -1 + x2 * -1) + X(-8 + -1x + x2)) = 0 ((8 + 1x + -1x2) + X(-8 + -1x + x2)) = 0 (8 + 1x + -1x2 + (-8 * X + -1x * X + x2 * X)) = 0 (8 + 1x + -1x2 + (-8X + -1xX + x2X)) = 0 Reorder the terms: (8 + -8X + 1x + -1xX + -1x2 + x2X) = 0 (8 + -8X + 1x + -1xX + -1x2 + x2X) = 0 Solving 8 + -8X + 1x + -1xX + -1x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8X + 1x + -1xX + -1x2 + -8 + x2X = 0 + -8 Reorder the terms: 8 + -8 + -8X + 1x + -1xX + -1x2 + x2X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -8X + 1x + -1xX + -1x2 + x2X = 0 + -8 -8X + 1x + -1xX + -1x2 + x2X = 0 + -8 Combine like terms: 0 + -8 = -8 -8X + 1x + -1xX + -1x2 + x2X = -8 Add '-1x' to each side of the equation. -8X + 1x + -1xX + -1x2 + -1x + x2X = -8 + -1x Reorder the terms: -8X + 1x + -1x + -1xX + -1x2 + x2X = -8 + -1x Combine like terms: 1x + -1x = 0 -8X + 0 + -1xX + -1x2 + x2X = -8 + -1x -8X + -1xX + -1x2 + x2X = -8 + -1x Add 'x2' to each side of the equation. -8X + -1xX + -1x2 + x2 + x2X = -8 + -1x + x2 Combine like terms: -1x2 + x2 = 0 -8X + -1xX + 0 + x2X = -8 + -1x + x2 -8X + -1xX + x2X = -8 + -1x + x2 Reorder the terms: 8 + -8X + x + -1xX + -1x2 + x2X = -8 + -1x + x2 + 8 + x + -1x2 Reorder the terms: 8 + -8X + x + -1xX + -1x2 + x2X = -8 + 8 + -1x + x + x2 + -1x2 Combine like terms: -8 + 8 = 0 8 + -8X + x + -1xX + -1x2 + x2X = 0 + -1x + x + x2 + -1x2 8 + -8X + x + -1xX + -1x2 + x2X = -1x + x + x2 + -1x2 Combine like terms: -1x + x = 0 8 + -8X + x + -1xX + -1x2 + x2X = 0 + x2 + -1x2 8 + -8X + x + -1xX + -1x2 + x2X = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8 + -8X + x + -1xX + -1x2 + x2X = 0 The solution to this equation could not be determined.
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