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Simplifying (3x + 7)(9x2 + -21x + 49) = 0 Reorder the terms: (7 + 3x)(9x2 + -21x + 49) = 0 Reorder the terms: (7 + 3x)(49 + -21x + 9x2) = 0 Multiply (7 + 3x) * (49 + -21x + 9x2) (7(49 + -21x + 9x2) + 3x * (49 + -21x + 9x2)) = 0 ((49 * 7 + -21x * 7 + 9x2 * 7) + 3x * (49 + -21x + 9x2)) = 0 ((343 + -147x + 63x2) + 3x * (49 + -21x + 9x2)) = 0 (343 + -147x + 63x2 + (49 * 3x + -21x * 3x + 9x2 * 3x)) = 0 (343 + -147x + 63x2 + (147x + -63x2 + 27x3)) = 0 Reorder the terms: (343 + -147x + 147x + 63x2 + -63x2 + 27x3) = 0 Combine like terms: -147x + 147x = 0 (343 + 0 + 63x2 + -63x2 + 27x3) = 0 (343 + 63x2 + -63x2 + 27x3) = 0 Combine like terms: 63x2 + -63x2 = 0 (343 + 0 + 27x3) = 0 (343 + 27x3) = 0 Solving 343 + 27x3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-343' to each side of the equation. 343 + -343 + 27x3 = 0 + -343 Combine like terms: 343 + -343 = 0 0 + 27x3 = 0 + -343 27x3 = 0 + -343 Combine like terms: 0 + -343 = -343 27x3 = -343 Divide each side by '27'. x3 = -12.7037037 Simplifying x3 = -12.7037037 Reorder the terms: 12.7037037 + x3 = -12.7037037 + 12.7037037 Combine like terms: -12.7037037 + 12.7037037 = 0.0000000 12.7037037 + x3 = 0.0000000 The solution to this equation could not be determined.
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