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Simplifying (X + 4)(x2 + -3x + 2) = 0 Reorder the terms: (4 + X)(x2 + -3x + 2) = 0 Reorder the terms: (4 + X)(2 + -3x + x2) = 0 Multiply (4 + X) * (2 + -3x + x2) (4(2 + -3x + x2) + X(2 + -3x + x2)) = 0 ((2 * 4 + -3x * 4 + x2 * 4) + X(2 + -3x + x2)) = 0 ((8 + -12x + 4x2) + X(2 + -3x + x2)) = 0 (8 + -12x + 4x2 + (2 * X + -3x * X + x2 * X)) = 0 (8 + -12x + 4x2 + (2X + -3xX + x2X)) = 0 Reorder the terms: (8 + 2X + -12x + -3xX + 4x2 + x2X) = 0 (8 + 2X + -12x + -3xX + 4x2 + x2X) = 0 Solving 8 + 2X + -12x + -3xX + 4x2 + 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 + 2X + -12x + -3xX + 4x2 + -8 + x2X = 0 + -8 Reorder the terms: 8 + -8 + 2X + -12x + -3xX + 4x2 + x2X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2X + -12x + -3xX + 4x2 + x2X = 0 + -8 2X + -12x + -3xX + 4x2 + x2X = 0 + -8 Combine like terms: 0 + -8 = -8 2X + -12x + -3xX + 4x2 + x2X = -8 Add '12x' to each side of the equation. 2X + -12x + -3xX + 4x2 + 12x + x2X = -8 + 12x Reorder the terms: 2X + -12x + 12x + -3xX + 4x2 + x2X = -8 + 12x Combine like terms: -12x + 12x = 0 2X + 0 + -3xX + 4x2 + x2X = -8 + 12x 2X + -3xX + 4x2 + x2X = -8 + 12x Add '-4x2' to each side of the equation. 2X + -3xX + 4x2 + -4x2 + x2X = -8 + 12x + -4x2 Combine like terms: 4x2 + -4x2 = 0 2X + -3xX + 0 + x2X = -8 + 12x + -4x2 2X + -3xX + x2X = -8 + 12x + -4x2 Reorder the terms: 8 + 2X + -12x + -3xX + 4x2 + x2X = -8 + 12x + -4x2 + 8 + -12x + 4x2 Reorder the terms: 8 + 2X + -12x + -3xX + 4x2 + x2X = -8 + 8 + 12x + -12x + -4x2 + 4x2 Combine like terms: -8 + 8 = 0 8 + 2X + -12x + -3xX + 4x2 + x2X = 0 + 12x + -12x + -4x2 + 4x2 8 + 2X + -12x + -3xX + 4x2 + x2X = 12x + -12x + -4x2 + 4x2 Combine like terms: 12x + -12x = 0 8 + 2X + -12x + -3xX + 4x2 + x2X = 0 + -4x2 + 4x2 8 + 2X + -12x + -3xX + 4x2 + x2X = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 8 + 2X + -12x + -3xX + 4x2 + x2X = 0 The solution to this equation could not be determined.
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