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Simplifying (X + 2)(x2 + 34x + 9) = 0 Reorder the terms: (2 + X)(x2 + 34x + 9) = 0 Reorder the terms: (2 + X)(9 + 34x + x2) = 0 Multiply (2 + X) * (9 + 34x + x2) (2(9 + 34x + x2) + X(9 + 34x + x2)) = 0 ((9 * 2 + 34x * 2 + x2 * 2) + X(9 + 34x + x2)) = 0 ((18 + 68x + 2x2) + X(9 + 34x + x2)) = 0 (18 + 68x + 2x2 + (9 * X + 34x * X + x2 * X)) = 0 (18 + 68x + 2x2 + (9X + 34xX + x2X)) = 0 Reorder the terms: (18 + 9X + 68x + 34xX + 2x2 + x2X) = 0 (18 + 9X + 68x + 34xX + 2x2 + x2X) = 0 Solving 18 + 9X + 68x + 34xX + 2x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 9X + 68x + 34xX + 2x2 + -18 + x2X = 0 + -18 Reorder the terms: 18 + -18 + 9X + 68x + 34xX + 2x2 + x2X = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 9X + 68x + 34xX + 2x2 + x2X = 0 + -18 9X + 68x + 34xX + 2x2 + x2X = 0 + -18 Combine like terms: 0 + -18 = -18 9X + 68x + 34xX + 2x2 + x2X = -18 Add '-68x' to each side of the equation. 9X + 68x + 34xX + 2x2 + -68x + x2X = -18 + -68x Reorder the terms: 9X + 68x + -68x + 34xX + 2x2 + x2X = -18 + -68x Combine like terms: 68x + -68x = 0 9X + 0 + 34xX + 2x2 + x2X = -18 + -68x 9X + 34xX + 2x2 + x2X = -18 + -68x Add '-2x2' to each side of the equation. 9X + 34xX + 2x2 + -2x2 + x2X = -18 + -68x + -2x2 Combine like terms: 2x2 + -2x2 = 0 9X + 34xX + 0 + x2X = -18 + -68x + -2x2 9X + 34xX + x2X = -18 + -68x + -2x2 Reorder the terms: 18 + 9X + 68x + 34xX + 2x2 + x2X = -18 + -68x + -2x2 + 18 + 68x + 2x2 Reorder the terms: 18 + 9X + 68x + 34xX + 2x2 + x2X = -18 + 18 + -68x + 68x + -2x2 + 2x2 Combine like terms: -18 + 18 = 0 18 + 9X + 68x + 34xX + 2x2 + x2X = 0 + -68x + 68x + -2x2 + 2x2 18 + 9X + 68x + 34xX + 2x2 + x2X = -68x + 68x + -2x2 + 2x2 Combine like terms: -68x + 68x = 0 18 + 9X + 68x + 34xX + 2x2 + x2X = 0 + -2x2 + 2x2 18 + 9X + 68x + 34xX + 2x2 + x2X = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 18 + 9X + 68x + 34xX + 2x2 + x2X = 0 The solution to this equation could not be determined.
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