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Simplifying (X + 2)(3x2 + -6x + 7) = 0 Reorder the terms: (2 + X)(3x2 + -6x + 7) = 0 Reorder the terms: (2 + X)(7 + -6x + 3x2) = 0 Multiply (2 + X) * (7 + -6x + 3x2) (2(7 + -6x + 3x2) + X(7 + -6x + 3x2)) = 0 ((7 * 2 + -6x * 2 + 3x2 * 2) + X(7 + -6x + 3x2)) = 0 ((14 + -12x + 6x2) + X(7 + -6x + 3x2)) = 0 (14 + -12x + 6x2 + (7 * X + -6x * X + 3x2 * X)) = 0 (14 + -12x + 6x2 + (7X + -6xX + 3x2X)) = 0 Reorder the terms: (14 + 7X + -12x + -6xX + 6x2 + 3x2X) = 0 (14 + 7X + -12x + -6xX + 6x2 + 3x2X) = 0 Solving 14 + 7X + -12x + -6xX + 6x2 + 3x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 7X + -12x + -6xX + 6x2 + -14 + 3x2X = 0 + -14 Reorder the terms: 14 + -14 + 7X + -12x + -6xX + 6x2 + 3x2X = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 7X + -12x + -6xX + 6x2 + 3x2X = 0 + -14 7X + -12x + -6xX + 6x2 + 3x2X = 0 + -14 Combine like terms: 0 + -14 = -14 7X + -12x + -6xX + 6x2 + 3x2X = -14 Add '12x' to each side of the equation. 7X + -12x + -6xX + 6x2 + 12x + 3x2X = -14 + 12x Reorder the terms: 7X + -12x + 12x + -6xX + 6x2 + 3x2X = -14 + 12x Combine like terms: -12x + 12x = 0 7X + 0 + -6xX + 6x2 + 3x2X = -14 + 12x 7X + -6xX + 6x2 + 3x2X = -14 + 12x Add '-6x2' to each side of the equation. 7X + -6xX + 6x2 + -6x2 + 3x2X = -14 + 12x + -6x2 Combine like terms: 6x2 + -6x2 = 0 7X + -6xX + 0 + 3x2X = -14 + 12x + -6x2 7X + -6xX + 3x2X = -14 + 12x + -6x2 Reorder the terms: 14 + 7X + -12x + -6xX + 6x2 + 3x2X = -14 + 12x + -6x2 + 14 + -12x + 6x2 Reorder the terms: 14 + 7X + -12x + -6xX + 6x2 + 3x2X = -14 + 14 + 12x + -12x + -6x2 + 6x2 Combine like terms: -14 + 14 = 0 14 + 7X + -12x + -6xX + 6x2 + 3x2X = 0 + 12x + -12x + -6x2 + 6x2 14 + 7X + -12x + -6xX + 6x2 + 3x2X = 12x + -12x + -6x2 + 6x2 Combine like terms: 12x + -12x = 0 14 + 7X + -12x + -6xX + 6x2 + 3x2X = 0 + -6x2 + 6x2 14 + 7X + -12x + -6xX + 6x2 + 3x2X = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 14 + 7X + -12x + -6xX + 6x2 + 3x2X = 0 The solution to this equation could not be determined.
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