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Simplifying (X + 2)(x2 + 4x + 5) = 0 Reorder the terms: (2 + X)(x2 + 4x + 5) = 0 Reorder the terms: (2 + X)(5 + 4x + x2) = 0 Multiply (2 + X) * (5 + 4x + x2) (2(5 + 4x + x2) + X(5 + 4x + x2)) = 0 ((5 * 2 + 4x * 2 + x2 * 2) + X(5 + 4x + x2)) = 0 ((10 + 8x + 2x2) + X(5 + 4x + x2)) = 0 (10 + 8x + 2x2 + (5 * X + 4x * X + x2 * X)) = 0 (10 + 8x + 2x2 + (5X + 4xX + x2X)) = 0 Reorder the terms: (10 + 5X + 8x + 4xX + 2x2 + x2X) = 0 (10 + 5X + 8x + 4xX + 2x2 + x2X) = 0 Solving 10 + 5X + 8x + 4xX + 2x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 5X + 8x + 4xX + 2x2 + -10 + x2X = 0 + -10 Reorder the terms: 10 + -10 + 5X + 8x + 4xX + 2x2 + x2X = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5X + 8x + 4xX + 2x2 + x2X = 0 + -10 5X + 8x + 4xX + 2x2 + x2X = 0 + -10 Combine like terms: 0 + -10 = -10 5X + 8x + 4xX + 2x2 + x2X = -10 Add '-8x' to each side of the equation. 5X + 8x + 4xX + 2x2 + -8x + x2X = -10 + -8x Reorder the terms: 5X + 8x + -8x + 4xX + 2x2 + x2X = -10 + -8x Combine like terms: 8x + -8x = 0 5X + 0 + 4xX + 2x2 + x2X = -10 + -8x 5X + 4xX + 2x2 + x2X = -10 + -8x Add '-2x2' to each side of the equation. 5X + 4xX + 2x2 + -2x2 + x2X = -10 + -8x + -2x2 Combine like terms: 2x2 + -2x2 = 0 5X + 4xX + 0 + x2X = -10 + -8x + -2x2 5X + 4xX + x2X = -10 + -8x + -2x2 Reorder the terms: 10 + 5X + 8x + 4xX + 2x2 + x2X = -10 + -8x + -2x2 + 10 + 8x + 2x2 Reorder the terms: 10 + 5X + 8x + 4xX + 2x2 + x2X = -10 + 10 + -8x + 8x + -2x2 + 2x2 Combine like terms: -10 + 10 = 0 10 + 5X + 8x + 4xX + 2x2 + x2X = 0 + -8x + 8x + -2x2 + 2x2 10 + 5X + 8x + 4xX + 2x2 + x2X = -8x + 8x + -2x2 + 2x2 Combine like terms: -8x + 8x = 0 10 + 5X + 8x + 4xX + 2x2 + x2X = 0 + -2x2 + 2x2 10 + 5X + 8x + 4xX + 2x2 + x2X = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 10 + 5X + 8x + 4xX + 2x2 + x2X = 0 The solution to this equation could not be determined.
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