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Simplifying (X + 1)(2x2 + -9x + 9) = 0 Reorder the terms: (1 + X)(2x2 + -9x + 9) = 0 Reorder the terms: (1 + X)(9 + -9x + 2x2) = 0 Multiply (1 + X) * (9 + -9x + 2x2) (1(9 + -9x + 2x2) + X(9 + -9x + 2x2)) = 0 ((9 * 1 + -9x * 1 + 2x2 * 1) + X(9 + -9x + 2x2)) = 0 ((9 + -9x + 2x2) + X(9 + -9x + 2x2)) = 0 (9 + -9x + 2x2 + (9 * X + -9x * X + 2x2 * X)) = 0 (9 + -9x + 2x2 + (9X + -9xX + 2x2X)) = 0 Reorder the terms: (9 + 9X + -9x + -9xX + 2x2 + 2x2X) = 0 (9 + 9X + -9x + -9xX + 2x2 + 2x2X) = 0 Solving 9 + 9X + -9x + -9xX + 2x2 + 2x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 9X + -9x + -9xX + 2x2 + -9 + 2x2X = 0 + -9 Reorder the terms: 9 + -9 + 9X + -9x + -9xX + 2x2 + 2x2X = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 9X + -9x + -9xX + 2x2 + 2x2X = 0 + -9 9X + -9x + -9xX + 2x2 + 2x2X = 0 + -9 Combine like terms: 0 + -9 = -9 9X + -9x + -9xX + 2x2 + 2x2X = -9 Add '9x' to each side of the equation. 9X + -9x + -9xX + 2x2 + 9x + 2x2X = -9 + 9x Reorder the terms: 9X + -9x + 9x + -9xX + 2x2 + 2x2X = -9 + 9x Combine like terms: -9x + 9x = 0 9X + 0 + -9xX + 2x2 + 2x2X = -9 + 9x 9X + -9xX + 2x2 + 2x2X = -9 + 9x Add '-2x2' to each side of the equation. 9X + -9xX + 2x2 + -2x2 + 2x2X = -9 + 9x + -2x2 Combine like terms: 2x2 + -2x2 = 0 9X + -9xX + 0 + 2x2X = -9 + 9x + -2x2 9X + -9xX + 2x2X = -9 + 9x + -2x2 Reorder the terms: 9 + 9X + -9x + -9xX + 2x2 + 2x2X = -9 + 9x + -2x2 + 9 + -9x + 2x2 Reorder the terms: 9 + 9X + -9x + -9xX + 2x2 + 2x2X = -9 + 9 + 9x + -9x + -2x2 + 2x2 Combine like terms: -9 + 9 = 0 9 + 9X + -9x + -9xX + 2x2 + 2x2X = 0 + 9x + -9x + -2x2 + 2x2 9 + 9X + -9x + -9xX + 2x2 + 2x2X = 9x + -9x + -2x2 + 2x2 Combine like terms: 9x + -9x = 0 9 + 9X + -9x + -9xX + 2x2 + 2x2X = 0 + -2x2 + 2x2 9 + 9X + -9x + -9xX + 2x2 + 2x2X = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 9 + 9X + -9x + -9xX + 2x2 + 2x2X = 0 The solution to this equation could not be determined.
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