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Simplifying (X + 3)(x2 + 2x + 4) = 0 Reorder the terms: (3 + X)(x2 + 2x + 4) = 0 Reorder the terms: (3 + X)(4 + 2x + x2) = 0 Multiply (3 + X) * (4 + 2x + x2) (3(4 + 2x + x2) + X(4 + 2x + x2)) = 0 ((4 * 3 + 2x * 3 + x2 * 3) + X(4 + 2x + x2)) = 0 ((12 + 6x + 3x2) + X(4 + 2x + x2)) = 0 (12 + 6x + 3x2 + (4 * X + 2x * X + x2 * X)) = 0 (12 + 6x + 3x2 + (4X + 2xX + x2X)) = 0 Reorder the terms: (12 + 4X + 6x + 2xX + 3x2 + x2X) = 0 (12 + 4X + 6x + 2xX + 3x2 + x2X) = 0 Solving 12 + 4X + 6x + 2xX + 3x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 4X + 6x + 2xX + 3x2 + -12 + x2X = 0 + -12 Reorder the terms: 12 + -12 + 4X + 6x + 2xX + 3x2 + x2X = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4X + 6x + 2xX + 3x2 + x2X = 0 + -12 4X + 6x + 2xX + 3x2 + x2X = 0 + -12 Combine like terms: 0 + -12 = -12 4X + 6x + 2xX + 3x2 + x2X = -12 Add '-6x' to each side of the equation. 4X + 6x + 2xX + 3x2 + -6x + x2X = -12 + -6x Reorder the terms: 4X + 6x + -6x + 2xX + 3x2 + x2X = -12 + -6x Combine like terms: 6x + -6x = 0 4X + 0 + 2xX + 3x2 + x2X = -12 + -6x 4X + 2xX + 3x2 + x2X = -12 + -6x Add '-3x2' to each side of the equation. 4X + 2xX + 3x2 + -3x2 + x2X = -12 + -6x + -3x2 Combine like terms: 3x2 + -3x2 = 0 4X + 2xX + 0 + x2X = -12 + -6x + -3x2 4X + 2xX + x2X = -12 + -6x + -3x2 Reorder the terms: 12 + 4X + 6x + 2xX + 3x2 + x2X = -12 + -6x + -3x2 + 12 + 6x + 3x2 Reorder the terms: 12 + 4X + 6x + 2xX + 3x2 + x2X = -12 + 12 + -6x + 6x + -3x2 + 3x2 Combine like terms: -12 + 12 = 0 12 + 4X + 6x + 2xX + 3x2 + x2X = 0 + -6x + 6x + -3x2 + 3x2 12 + 4X + 6x + 2xX + 3x2 + x2X = -6x + 6x + -3x2 + 3x2 Combine like terms: -6x + 6x = 0 12 + 4X + 6x + 2xX + 3x2 + x2X = 0 + -3x2 + 3x2 12 + 4X + 6x + 2xX + 3x2 + x2X = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 12 + 4X + 6x + 2xX + 3x2 + x2X = 0 The solution to this equation could not be determined.
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