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Simplifying (x + 1)(x + 3)(x + 5) = 267 Reorder the terms: (1 + x)(x + 3)(x + 5) = 267 Reorder the terms: (1 + x)(3 + x)(x + 5) = 267 Reorder the terms: (1 + x)(3 + x)(5 + x) = 267 Multiply (1 + x) * (3 + x) (1(3 + x) + x(3 + x))(5 + x) = 267 ((3 * 1 + x * 1) + x(3 + x))(5 + x) = 267 ((3 + 1x) + x(3 + x))(5 + x) = 267 (3 + 1x + (3 * x + x * x))(5 + x) = 267 (3 + 1x + (3x + x2))(5 + x) = 267 Combine like terms: 1x + 3x = 4x (3 + 4x + x2)(5 + x) = 267 Multiply (3 + 4x + x2) * (5 + x) (3(5 + x) + 4x * (5 + x) + x2(5 + x)) = 267 ((5 * 3 + x * 3) + 4x * (5 + x) + x2(5 + x)) = 267 ((15 + 3x) + 4x * (5 + x) + x2(5 + x)) = 267 (15 + 3x + (5 * 4x + x * 4x) + x2(5 + x)) = 267 (15 + 3x + (20x + 4x2) + x2(5 + x)) = 267 (15 + 3x + 20x + 4x2 + (5 * x2 + x * x2)) = 267 (15 + 3x + 20x + 4x2 + (5x2 + x3)) = 267 Combine like terms: 3x + 20x = 23x (15 + 23x + 4x2 + 5x2 + x3) = 267 Combine like terms: 4x2 + 5x2 = 9x2 (15 + 23x + 9x2 + x3) = 267 Solving 15 + 23x + 9x2 + x3 = 267 Solving for variable 'x'. Reorder the terms: 15 + -267 + 23x + 9x2 + x3 = 267 + -267 Combine like terms: 15 + -267 = -252 -252 + 23x + 9x2 + x3 = 267 + -267 Combine like terms: 267 + -267 = 0 -252 + 23x + 9x2 + x3 = 0 The solution to this equation could not be determined.
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