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Simplifying (4x4 + 8x2 + 5x + 5.5)(8x + 1)(7x + 1) = 0 Reorder the terms: (5.5 + 5x + 8x2 + 4x4)(8x + 1)(7x + 1) = 0 Reorder the terms: (5.5 + 5x + 8x2 + 4x4)(1 + 8x)(7x + 1) = 0 Reorder the terms: (5.5 + 5x + 8x2 + 4x4)(1 + 8x)(1 + 7x) = 0 Multiply (5.5 + 5x + 8x2 + 4x4) * (1 + 8x) (5.5(1 + 8x) + 5x * (1 + 8x) + 8x2 * (1 + 8x) + 4x4 * (1 + 8x))(1 + 7x) = 0 ((1 * 5.5 + 8x * 5.5) + 5x * (1 + 8x) + 8x2 * (1 + 8x) + 4x4 * (1 + 8x))(1 + 7x) = 0 ((5.5 + 44x) + 5x * (1 + 8x) + 8x2 * (1 + 8x) + 4x4 * (1 + 8x))(1 + 7x) = 0 (5.5 + 44x + (1 * 5x + 8x * 5x) + 8x2 * (1 + 8x) + 4x4 * (1 + 8x))(1 + 7x) = 0 (5.5 + 44x + (5x + 40x2) + 8x2 * (1 + 8x) + 4x4 * (1 + 8x))(1 + 7x) = 0 (5.5 + 44x + 5x + 40x2 + (1 * 8x2 + 8x * 8x2) + 4x4 * (1 + 8x))(1 + 7x) = 0 (5.5 + 44x + 5x + 40x2 + (8x2 + 64x3) + 4x4 * (1 + 8x))(1 + 7x) = 0 (5.5 + 44x + 5x + 40x2 + 8x2 + 64x3 + (1 * 4x4 + 8x * 4x4))(1 + 7x) = 0 (5.5 + 44x + 5x + 40x2 + 8x2 + 64x3 + (4x4 + 32x5))(1 + 7x) = 0 Combine like terms: 44x + 5x = 49x (5.5 + 49x + 40x2 + 8x2 + 64x3 + 4x4 + 32x5)(1 + 7x) = 0 Combine like terms: 40x2 + 8x2 = 48x2 (5.5 + 49x + 48x2 + 64x3 + 4x4 + 32x5)(1 + 7x) = 0 Multiply (5.5 + 49x + 48x2 + 64x3 + 4x4 + 32x5) * (1 + 7x) (5.5(1 + 7x) + 49x * (1 + 7x) + 48x2 * (1 + 7x) + 64x3 * (1 + 7x) + 4x4 * (1 + 7x) + 32x5 * (1 + 7x)) = 0 ((1 * 5.5 + 7x * 5.5) + 49x * (1 + 7x) + 48x2 * (1 + 7x) + 64x3 * (1 + 7x) + 4x4 * (1 + 7x) + 32x5 * (1 + 7x)) = 0 ((5.5 + 38.5x) + 49x * (1 + 7x) + 48x2 * (1 + 7x) + 64x3 * (1 + 7x) + 4x4 * (1 + 7x) + 32x5 * (1 + 7x)) = 0 (5.5 + 38.5x + (1 * 49x + 7x * 49x) + 48x2 * (1 + 7x) + 64x3 * (1 + 7x) + 4x4 * (1 + 7x) + 32x5 * (1 + 7x)) = 0 (5.5 + 38.5x + (49x + 343x2) + 48x2 * (1 + 7x) + 64x3 * (1 + 7x) + 4x4 * (1 + 7x) + 32x5 * (1 + 7x)) = 0 (5.5 + 38.5x + 49x + 343x2 + (1 * 48x2 + 7x * 48x2) + 64x3 * (1 + 7x) + 4x4 * (1 + 7x) + 32x5 * (1 + 7x)) = 0 (5.5 + 38.5x + 49x + 343x2 + (48x2 + 336x3) + 64x3 * (1 + 7x) + 4x4 * (1 + 7x) + 32x5 * (1 + 7x)) = 0 (5.5 + 38.5x + 49x + 343x2 + 48x2 + 336x3 + (1 * 64x3 + 7x * 64x3) + 4x4 * (1 + 7x) + 32x5 * (1 + 7x)) = 0 (5.5 + 38.5x + 49x + 343x2 + 48x2 + 336x3 + (64x3 + 448x4) + 4x4 * (1 + 7x) + 32x5 * (1 + 7x)) = 0 (5.5 + 38.5x + 49x + 343x2 + 48x2 + 336x3 + 64x3 + 448x4 + (1 * 4x4 + 7x * 4x4) + 32x5 * (1 + 7x)) = 0 (5.5 + 38.5x + 49x + 343x2 + 48x2 + 336x3 + 64x3 + 448x4 + (4x4 + 28x5) + 32x5 * (1 + 7x)) = 0 (5.5 + 38.5x + 49x + 343x2 + 48x2 + 336x3 + 64x3 + 448x4 + 4x4 + 28x5 + (1 * 32x5 + 7x * 32x5)) = 0 (5.5 + 38.5x + 49x + 343x2 + 48x2 + 336x3 + 64x3 + 448x4 + 4x4 + 28x5 + (32x5 + 224x6)) = 0 Combine like terms: 38.5x + 49x = 87.5x (5.5 + 87.5x + 343x2 + 48x2 + 336x3 + 64x3 + 448x4 + 4x4 + 28x5 + 32x5 + 224x6) = 0 Combine like terms: 343x2 + 48x2 = 391x2 (5.5 + 87.5x + 391x2 + 336x3 + 64x3 + 448x4 + 4x4 + 28x5 + 32x5 + 224x6) = 0 Combine like terms: 336x3 + 64x3 = 400x3 (5.5 + 87.5x + 391x2 + 400x3 + 448x4 + 4x4 + 28x5 + 32x5 + 224x6) = 0 Combine like terms: 448x4 + 4x4 = 452x4 (5.5 + 87.5x + 391x2 + 400x3 + 452x4 + 28x5 + 32x5 + 224x6) = 0 Combine like terms: 28x5 + 32x5 = 60x5 (5.5 + 87.5x + 391x2 + 400x3 + 452x4 + 60x5 + 224x6) = 0 Solving 5.5 + 87.5x + 391x2 + 400x3 + 452x4 + 60x5 + 224x6 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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