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Simplifying (x + 8)(x + 5)(x + 2)(x + 7) = 0 Reorder the terms: (8 + x)(x + 5)(x + 2)(x + 7) = 0 Reorder the terms: (8 + x)(5 + x)(x + 2)(x + 7) = 0 Reorder the terms: (8 + x)(5 + x)(2 + x)(x + 7) = 0 Reorder the terms: (8 + x)(5 + x)(2 + x)(7 + x) = 0 Multiply (8 + x) * (5 + x) (8(5 + x) + x(5 + x))(2 + x)(7 + x) = 0 ((5 * 8 + x * 8) + x(5 + x))(2 + x)(7 + x) = 0 ((40 + 8x) + x(5 + x))(2 + x)(7 + x) = 0 (40 + 8x + (5 * x + x * x))(2 + x)(7 + x) = 0 (40 + 8x + (5x + x2))(2 + x)(7 + x) = 0 Combine like terms: 8x + 5x = 13x (40 + 13x + x2)(2 + x)(7 + x) = 0 Multiply (40 + 13x + x2) * (2 + x) (40(2 + x) + 13x * (2 + x) + x2(2 + x))(7 + x) = 0 ((2 * 40 + x * 40) + 13x * (2 + x) + x2(2 + x))(7 + x) = 0 ((80 + 40x) + 13x * (2 + x) + x2(2 + x))(7 + x) = 0 (80 + 40x + (2 * 13x + x * 13x) + x2(2 + x))(7 + x) = 0 (80 + 40x + (26x + 13x2) + x2(2 + x))(7 + x) = 0 (80 + 40x + 26x + 13x2 + (2 * x2 + x * x2))(7 + x) = 0 (80 + 40x + 26x + 13x2 + (2x2 + x3))(7 + x) = 0 Combine like terms: 40x + 26x = 66x (80 + 66x + 13x2 + 2x2 + x3)(7 + x) = 0 Combine like terms: 13x2 + 2x2 = 15x2 (80 + 66x + 15x2 + x3)(7 + x) = 0 Multiply (80 + 66x + 15x2 + x3) * (7 + x) (80(7 + x) + 66x * (7 + x) + 15x2 * (7 + x) + x3(7 + x)) = 0 ((7 * 80 + x * 80) + 66x * (7 + x) + 15x2 * (7 + x) + x3(7 + x)) = 0 ((560 + 80x) + 66x * (7 + x) + 15x2 * (7 + x) + x3(7 + x)) = 0 (560 + 80x + (7 * 66x + x * 66x) + 15x2 * (7 + x) + x3(7 + x)) = 0 (560 + 80x + (462x + 66x2) + 15x2 * (7 + x) + x3(7 + x)) = 0 (560 + 80x + 462x + 66x2 + (7 * 15x2 + x * 15x2) + x3(7 + x)) = 0 (560 + 80x + 462x + 66x2 + (105x2 + 15x3) + x3(7 + x)) = 0 (560 + 80x + 462x + 66x2 + 105x2 + 15x3 + (7 * x3 + x * x3)) = 0 (560 + 80x + 462x + 66x2 + 105x2 + 15x3 + (7x3 + x4)) = 0 Combine like terms: 80x + 462x = 542x (560 + 542x + 66x2 + 105x2 + 15x3 + 7x3 + x4) = 0 Combine like terms: 66x2 + 105x2 = 171x2 (560 + 542x + 171x2 + 15x3 + 7x3 + x4) = 0 Combine like terms: 15x3 + 7x3 = 22x3 (560 + 542x + 171x2 + 22x3 + x4) = 0 Solving 560 + 542x + 171x2 + 22x3 + x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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