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Simplifying (2x2 + 5x + 17)(3x2 + -3x + 16) = 0 Reorder the terms: (17 + 5x + 2x2)(3x2 + -3x + 16) = 0 Reorder the terms: (17 + 5x + 2x2)(16 + -3x + 3x2) = 0 Multiply (17 + 5x + 2x2) * (16 + -3x + 3x2) (17(16 + -3x + 3x2) + 5x * (16 + -3x + 3x2) + 2x2 * (16 + -3x + 3x2)) = 0 ((16 * 17 + -3x * 17 + 3x2 * 17) + 5x * (16 + -3x + 3x2) + 2x2 * (16 + -3x + 3x2)) = 0 ((272 + -51x + 51x2) + 5x * (16 + -3x + 3x2) + 2x2 * (16 + -3x + 3x2)) = 0 (272 + -51x + 51x2 + (16 * 5x + -3x * 5x + 3x2 * 5x) + 2x2 * (16 + -3x + 3x2)) = 0 (272 + -51x + 51x2 + (80x + -15x2 + 15x3) + 2x2 * (16 + -3x + 3x2)) = 0 (272 + -51x + 51x2 + 80x + -15x2 + 15x3 + (16 * 2x2 + -3x * 2x2 + 3x2 * 2x2)) = 0 (272 + -51x + 51x2 + 80x + -15x2 + 15x3 + (32x2 + -6x3 + 6x4)) = 0 Reorder the terms: (272 + -51x + 80x + 51x2 + -15x2 + 32x2 + 15x3 + -6x3 + 6x4) = 0 Combine like terms: -51x + 80x = 29x (272 + 29x + 51x2 + -15x2 + 32x2 + 15x3 + -6x3 + 6x4) = 0 Combine like terms: 51x2 + -15x2 = 36x2 (272 + 29x + 36x2 + 32x2 + 15x3 + -6x3 + 6x4) = 0 Combine like terms: 36x2 + 32x2 = 68x2 (272 + 29x + 68x2 + 15x3 + -6x3 + 6x4) = 0 Combine like terms: 15x3 + -6x3 = 9x3 (272 + 29x + 68x2 + 9x3 + 6x4) = 0 Solving 272 + 29x + 68x2 + 9x3 + 6x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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