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Simplifying (3x3 + 2x2 + -1x + 4)(x3 + -5x + 6) = 0 Reorder the terms: (4 + -1x + 2x2 + 3x3)(x3 + -5x + 6) = 0 Reorder the terms: (4 + -1x + 2x2 + 3x3)(6 + -5x + x3) = 0 Multiply (4 + -1x + 2x2 + 3x3) * (6 + -5x + x3) (4(6 + -5x + x3) + -1x * (6 + -5x + x3) + 2x2 * (6 + -5x + x3) + 3x3 * (6 + -5x + x3)) = 0 ((6 * 4 + -5x * 4 + x3 * 4) + -1x * (6 + -5x + x3) + 2x2 * (6 + -5x + x3) + 3x3 * (6 + -5x + x3)) = 0 ((24 + -20x + 4x3) + -1x * (6 + -5x + x3) + 2x2 * (6 + -5x + x3) + 3x3 * (6 + -5x + x3)) = 0 (24 + -20x + 4x3 + (6 * -1x + -5x * -1x + x3 * -1x) + 2x2 * (6 + -5x + x3) + 3x3 * (6 + -5x + x3)) = 0 (24 + -20x + 4x3 + (-6x + 5x2 + -1x4) + 2x2 * (6 + -5x + x3) + 3x3 * (6 + -5x + x3)) = 0 (24 + -20x + 4x3 + -6x + 5x2 + -1x4 + (6 * 2x2 + -5x * 2x2 + x3 * 2x2) + 3x3 * (6 + -5x + x3)) = 0 (24 + -20x + 4x3 + -6x + 5x2 + -1x4 + (12x2 + -10x3 + 2x5) + 3x3 * (6 + -5x + x3)) = 0 (24 + -20x + 4x3 + -6x + 5x2 + -1x4 + 12x2 + -10x3 + 2x5 + (6 * 3x3 + -5x * 3x3 + x3 * 3x3)) = 0 (24 + -20x + 4x3 + -6x + 5x2 + -1x4 + 12x2 + -10x3 + 2x5 + (18x3 + -15x4 + 3x6)) = 0 Reorder the terms: (24 + -20x + -6x + 5x2 + 12x2 + 4x3 + -10x3 + 18x3 + -1x4 + -15x4 + 2x5 + 3x6) = 0 Combine like terms: -20x + -6x = -26x (24 + -26x + 5x2 + 12x2 + 4x3 + -10x3 + 18x3 + -1x4 + -15x4 + 2x5 + 3x6) = 0 Combine like terms: 5x2 + 12x2 = 17x2 (24 + -26x + 17x2 + 4x3 + -10x3 + 18x3 + -1x4 + -15x4 + 2x5 + 3x6) = 0 Combine like terms: 4x3 + -10x3 = -6x3 (24 + -26x + 17x2 + -6x3 + 18x3 + -1x4 + -15x4 + 2x5 + 3x6) = 0 Combine like terms: -6x3 + 18x3 = 12x3 (24 + -26x + 17x2 + 12x3 + -1x4 + -15x4 + 2x5 + 3x6) = 0 Combine like terms: -1x4 + -15x4 = -16x4 (24 + -26x + 17x2 + 12x3 + -16x4 + 2x5 + 3x6) = 0 Solving 24 + -26x + 17x2 + 12x3 + -16x4 + 2x5 + 3x6 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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