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Simplifying (x + 4)(x + 5)(x + 10) = 49 Reorder the terms: (4 + x)(x + 5)(x + 10) = 49 Reorder the terms: (4 + x)(5 + x)(x + 10) = 49 Reorder the terms: (4 + x)(5 + x)(10 + x) = 49 Multiply (4 + x) * (5 + x) (4(5 + x) + x(5 + x))(10 + x) = 49 ((5 * 4 + x * 4) + x(5 + x))(10 + x) = 49 ((20 + 4x) + x(5 + x))(10 + x) = 49 (20 + 4x + (5 * x + x * x))(10 + x) = 49 (20 + 4x + (5x + x2))(10 + x) = 49 Combine like terms: 4x + 5x = 9x (20 + 9x + x2)(10 + x) = 49 Multiply (20 + 9x + x2) * (10 + x) (20(10 + x) + 9x * (10 + x) + x2(10 + x)) = 49 ((10 * 20 + x * 20) + 9x * (10 + x) + x2(10 + x)) = 49 ((200 + 20x) + 9x * (10 + x) + x2(10 + x)) = 49 (200 + 20x + (10 * 9x + x * 9x) + x2(10 + x)) = 49 (200 + 20x + (90x + 9x2) + x2(10 + x)) = 49 (200 + 20x + 90x + 9x2 + (10 * x2 + x * x2)) = 49 (200 + 20x + 90x + 9x2 + (10x2 + x3)) = 49 Combine like terms: 20x + 90x = 110x (200 + 110x + 9x2 + 10x2 + x3) = 49 Combine like terms: 9x2 + 10x2 = 19x2 (200 + 110x + 19x2 + x3) = 49 Solving 200 + 110x + 19x2 + x3 = 49 Solving for variable 'x'. Reorder the terms: 200 + -49 + 110x + 19x2 + x3 = 49 + -49 Combine like terms: 200 + -49 = 151 151 + 110x + 19x2 + x3 = 49 + -49 Combine like terms: 49 + -49 = 0 151 + 110x + 19x2 + x3 = 0 The solution to this equation could not be determined.
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