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Simplifying (x + 4)(x + 2)(x + 1) = 240 Reorder the terms: (4 + x)(x + 2)(x + 1) = 240 Reorder the terms: (4 + x)(2 + x)(x + 1) = 240 Reorder the terms: (4 + x)(2 + x)(1 + x) = 240 Multiply (4 + x) * (2 + x) (4(2 + x) + x(2 + x))(1 + x) = 240 ((2 * 4 + x * 4) + x(2 + x))(1 + x) = 240 ((8 + 4x) + x(2 + x))(1 + x) = 240 (8 + 4x + (2 * x + x * x))(1 + x) = 240 (8 + 4x + (2x + x2))(1 + x) = 240 Combine like terms: 4x + 2x = 6x (8 + 6x + x2)(1 + x) = 240 Multiply (8 + 6x + x2) * (1 + x) (8(1 + x) + 6x * (1 + x) + x2(1 + x)) = 240 ((1 * 8 + x * 8) + 6x * (1 + x) + x2(1 + x)) = 240 ((8 + 8x) + 6x * (1 + x) + x2(1 + x)) = 240 (8 + 8x + (1 * 6x + x * 6x) + x2(1 + x)) = 240 (8 + 8x + (6x + 6x2) + x2(1 + x)) = 240 (8 + 8x + 6x + 6x2 + (1 * x2 + x * x2)) = 240 (8 + 8x + 6x + 6x2 + (1x2 + x3)) = 240 Combine like terms: 8x + 6x = 14x (8 + 14x + 6x2 + 1x2 + x3) = 240 Combine like terms: 6x2 + 1x2 = 7x2 (8 + 14x + 7x2 + x3) = 240 Solving 8 + 14x + 7x2 + x3 = 240 Solving for variable 'x'. Reorder the terms: 8 + -240 + 14x + 7x2 + x3 = 240 + -240 Combine like terms: 8 + -240 = -232 -232 + 14x + 7x2 + x3 = 240 + -240 Combine like terms: 240 + -240 = 0 -232 + 14x + 7x2 + x3 = 0 The solution to this equation could not be determined.
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