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Simplifying x(x + 1)(x + 2)(x + 3) = 120 Reorder the terms: x(1 + x)(x + 2)(x + 3) = 120 Reorder the terms: x(1 + x)(2 + x)(x + 3) = 120 Reorder the terms: x(1 + x)(2 + x)(3 + x) = 120 Multiply (1 + x) * (2 + x) x(1(2 + x) + x(2 + x))(3 + x) = 120 x((2 * 1 + x * 1) + x(2 + x))(3 + x) = 120 x((2 + 1x) + x(2 + x))(3 + x) = 120 x(2 + 1x + (2 * x + x * x))(3 + x) = 120 x(2 + 1x + (2x + x2))(3 + x) = 120 Combine like terms: 1x + 2x = 3x x(2 + 3x + x2)(3 + x) = 120 Multiply (2 + 3x + x2) * (3 + x) x(2(3 + x) + 3x * (3 + x) + x2(3 + x)) = 120 x((3 * 2 + x * 2) + 3x * (3 + x) + x2(3 + x)) = 120 x((6 + 2x) + 3x * (3 + x) + x2(3 + x)) = 120 x(6 + 2x + (3 * 3x + x * 3x) + x2(3 + x)) = 120 x(6 + 2x + (9x + 3x2) + x2(3 + x)) = 120 x(6 + 2x + 9x + 3x2 + (3 * x2 + x * x2)) = 120 x(6 + 2x + 9x + 3x2 + (3x2 + x3)) = 120 Combine like terms: 2x + 9x = 11x x(6 + 11x + 3x2 + 3x2 + x3) = 120 Combine like terms: 3x2 + 3x2 = 6x2 x(6 + 11x + 6x2 + x3) = 120 (6 * x + 11x * x + 6x2 * x + x3 * x) = 120 (6x + 11x2 + 6x3 + x4) = 120 Solving 6x + 11x2 + 6x3 + x4 = 120 Solving for variable 'x'. Reorder the terms: -120 + 6x + 11x2 + 6x3 + x4 = 120 + -120 Combine like terms: 120 + -120 = 0 -120 + 6x + 11x2 + 6x3 + x4 = 0 The solution to this equation could not be determined.
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