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Simplifying (x + 4)(x + 6)(x + 8)(x + 10) = 9 Reorder the terms: (4 + x)(x + 6)(x + 8)(x + 10) = 9 Reorder the terms: (4 + x)(6 + x)(x + 8)(x + 10) = 9 Reorder the terms: (4 + x)(6 + x)(8 + x)(x + 10) = 9 Reorder the terms: (4 + x)(6 + x)(8 + x)(10 + x) = 9 Multiply (4 + x) * (6 + x) (4(6 + x) + x(6 + x))(8 + x)(10 + x) = 9 ((6 * 4 + x * 4) + x(6 + x))(8 + x)(10 + x) = 9 ((24 + 4x) + x(6 + x))(8 + x)(10 + x) = 9 (24 + 4x + (6 * x + x * x))(8 + x)(10 + x) = 9 (24 + 4x + (6x + x2))(8 + x)(10 + x) = 9 Combine like terms: 4x + 6x = 10x (24 + 10x + x2)(8 + x)(10 + x) = 9 Multiply (24 + 10x + x2) * (8 + x) (24(8 + x) + 10x * (8 + x) + x2(8 + x))(10 + x) = 9 ((8 * 24 + x * 24) + 10x * (8 + x) + x2(8 + x))(10 + x) = 9 ((192 + 24x) + 10x * (8 + x) + x2(8 + x))(10 + x) = 9 (192 + 24x + (8 * 10x + x * 10x) + x2(8 + x))(10 + x) = 9 (192 + 24x + (80x + 10x2) + x2(8 + x))(10 + x) = 9 (192 + 24x + 80x + 10x2 + (8 * x2 + x * x2))(10 + x) = 9 (192 + 24x + 80x + 10x2 + (8x2 + x3))(10 + x) = 9 Combine like terms: 24x + 80x = 104x (192 + 104x + 10x2 + 8x2 + x3)(10 + x) = 9 Combine like terms: 10x2 + 8x2 = 18x2 (192 + 104x + 18x2 + x3)(10 + x) = 9 Multiply (192 + 104x + 18x2 + x3) * (10 + x) (192(10 + x) + 104x * (10 + x) + 18x2 * (10 + x) + x3(10 + x)) = 9 ((10 * 192 + x * 192) + 104x * (10 + x) + 18x2 * (10 + x) + x3(10 + x)) = 9 ((1920 + 192x) + 104x * (10 + x) + 18x2 * (10 + x) + x3(10 + x)) = 9 (1920 + 192x + (10 * 104x + x * 104x) + 18x2 * (10 + x) + x3(10 + x)) = 9 (1920 + 192x + (1040x + 104x2) + 18x2 * (10 + x) + x3(10 + x)) = 9 (1920 + 192x + 1040x + 104x2 + (10 * 18x2 + x * 18x2) + x3(10 + x)) = 9 (1920 + 192x + 1040x + 104x2 + (180x2 + 18x3) + x3(10 + x)) = 9 (1920 + 192x + 1040x + 104x2 + 180x2 + 18x3 + (10 * x3 + x * x3)) = 9 (1920 + 192x + 1040x + 104x2 + 180x2 + 18x3 + (10x3 + x4)) = 9 Combine like terms: 192x + 1040x = 1232x (1920 + 1232x + 104x2 + 180x2 + 18x3 + 10x3 + x4) = 9 Combine like terms: 104x2 + 180x2 = 284x2 (1920 + 1232x + 284x2 + 18x3 + 10x3 + x4) = 9 Combine like terms: 18x3 + 10x3 = 28x3 (1920 + 1232x + 284x2 + 28x3 + x4) = 9 Solving 1920 + 1232x + 284x2 + 28x3 + x4 = 9 Solving for variable 'x'. Reorder the terms: 1920 + -9 + 1232x + 284x2 + 28x3 + x4 = 9 + -9 Combine like terms: 1920 + -9 = 1911 1911 + 1232x + 284x2 + 28x3 + x4 = 9 + -9 Combine like terms: 9 + -9 = 0 1911 + 1232x + 284x2 + 28x3 + x4 = 0 The solution to this equation could not be determined.
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