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Simplifying (X + -1)(4x3 + 3x2 + 8x + 6) = 0 Reorder the terms: (-1 + X)(4x3 + 3x2 + 8x + 6) = 0 Reorder the terms: (-1 + X)(6 + 8x + 3x2 + 4x3) = 0 Multiply (-1 + X) * (6 + 8x + 3x2 + 4x3) (-1(6 + 8x + 3x2 + 4x3) + X(6 + 8x + 3x2 + 4x3)) = 0 ((6 * -1 + 8x * -1 + 3x2 * -1 + 4x3 * -1) + X(6 + 8x + 3x2 + 4x3)) = 0 ((-6 + -8x + -3x2 + -4x3) + X(6 + 8x + 3x2 + 4x3)) = 0 (-6 + -8x + -3x2 + -4x3 + (6 * X + 8x * X + 3x2 * X + 4x3 * X)) = 0 (-6 + -8x + -3x2 + -4x3 + (6X + 8xX + 3x2X + 4x3X)) = 0 Reorder the terms: (-6 + 6X + -8x + 8xX + -3x2 + 3x2X + -4x3 + 4x3X) = 0 (-6 + 6X + -8x + 8xX + -3x2 + 3x2X + -4x3 + 4x3X) = 0 Solving -6 + 6X + -8x + 8xX + -3x2 + 3x2X + -4x3 + 4x3X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6X + -8x + 8xX + -3x2 + 3x2X + -4x3 + 6 + 4x3X = 0 + 6 Reorder the terms: -6 + 6 + 6X + -8x + 8xX + -3x2 + 3x2X + -4x3 + 4x3X = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 6X + -8x + 8xX + -3x2 + 3x2X + -4x3 + 4x3X = 0 + 6 6X + -8x + 8xX + -3x2 + 3x2X + -4x3 + 4x3X = 0 + 6 Combine like terms: 0 + 6 = 6 6X + -8x + 8xX + -3x2 + 3x2X + -4x3 + 4x3X = 6 Add '8x' to each side of the equation. 6X + -8x + 8xX + -3x2 + 3x2X + -4x3 + 8x + 4x3X = 6 + 8x Reorder the terms: 6X + -8x + 8x + 8xX + -3x2 + 3x2X + -4x3 + 4x3X = 6 + 8x Combine like terms: -8x + 8x = 0 6X + 0 + 8xX + -3x2 + 3x2X + -4x3 + 4x3X = 6 + 8x 6X + 8xX + -3x2 + 3x2X + -4x3 + 4x3X = 6 + 8x Add '3x2' to each side of the equation. 6X + 8xX + -3x2 + 3x2X + -4x3 + 3x2 + 4x3X = 6 + 8x + 3x2 Reorder the terms: 6X + 8xX + -3x2 + 3x2 + 3x2X + -4x3 + 4x3X = 6 + 8x + 3x2 Combine like terms: -3x2 + 3x2 = 0 6X + 8xX + 0 + 3x2X + -4x3 + 4x3X = 6 + 8x + 3x2 6X + 8xX + 3x2X + -4x3 + 4x3X = 6 + 8x + 3x2 Add '4x3' to each side of the equation. 6X + 8xX + 3x2X + -4x3 + 4x3 + 4x3X = 6 + 8x + 3x2 + 4x3 Combine like terms: -4x3 + 4x3 = 0 6X + 8xX + 3x2X + 0 + 4x3X = 6 + 8x + 3x2 + 4x3 6X + 8xX + 3x2X + 4x3X = 6 + 8x + 3x2 + 4x3 Reorder the terms: -6 + 6X + -8x + 8xX + -3x2 + 3x2X + -4x3 + 4x3X = 6 + 8x + 3x2 + 4x3 + -6 + -8x + -3x2 + -4x3 Reorder the terms: -6 + 6X + -8x + 8xX + -3x2 + 3x2X + -4x3 + 4x3X = 6 + -6 + 8x + -8x + 3x2 + -3x2 + 4x3 + -4x3 Combine like terms: 6 + -6 = 0 -6 + 6X + -8x + 8xX + -3x2 + 3x2X + -4x3 + 4x3X = 0 + 8x + -8x + 3x2 + -3x2 + 4x3 + -4x3 -6 + 6X + -8x + 8xX + -3x2 + 3x2X + -4x3 + 4x3X = 8x + -8x + 3x2 + -3x2 + 4x3 + -4x3 Combine like terms: 8x + -8x = 0 -6 + 6X + -8x + 8xX + -3x2 + 3x2X + -4x3 + 4x3X = 0 + 3x2 + -3x2 + 4x3 + -4x3 -6 + 6X + -8x + 8xX + -3x2 + 3x2X + -4x3 + 4x3X = 3x2 + -3x2 + 4x3 + -4x3 Combine like terms: 3x2 + -3x2 = 0 -6 + 6X + -8x + 8xX + -3x2 + 3x2X + -4x3 + 4x3X = 0 + 4x3 + -4x3 -6 + 6X + -8x + 8xX + -3x2 + 3x2X + -4x3 + 4x3X = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 -6 + 6X + -8x + 8xX + -3x2 + 3x2X + -4x3 + 4x3X = 0 The solution to this equation could not be determined.
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