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Simplifying X(x + 1)(x + 2)(x + 3) = 42 Reorder the terms: X(1 + x)(x + 2)(x + 3) = 42 Reorder the terms: X(1 + x)(2 + x)(x + 3) = 42 Reorder the terms: X(1 + x)(2 + x)(3 + x) = 42 Multiply (1 + x) * (2 + x) X(1(2 + x) + x(2 + x))(3 + x) = 42 X((2 * 1 + x * 1) + x(2 + x))(3 + x) = 42 X((2 + 1x) + x(2 + x))(3 + x) = 42 X(2 + 1x + (2 * x + x * x))(3 + x) = 42 X(2 + 1x + (2x + x2))(3 + x) = 42 Combine like terms: 1x + 2x = 3x X(2 + 3x + x2)(3 + x) = 42 Multiply (2 + 3x + x2) * (3 + x) X(2(3 + x) + 3x * (3 + x) + x2(3 + x)) = 42 X((3 * 2 + x * 2) + 3x * (3 + x) + x2(3 + x)) = 42 X((6 + 2x) + 3x * (3 + x) + x2(3 + x)) = 42 X(6 + 2x + (3 * 3x + x * 3x) + x2(3 + x)) = 42 X(6 + 2x + (9x + 3x2) + x2(3 + x)) = 42 X(6 + 2x + 9x + 3x2 + (3 * x2 + x * x2)) = 42 X(6 + 2x + 9x + 3x2 + (3x2 + x3)) = 42 Combine like terms: 2x + 9x = 11x X(6 + 11x + 3x2 + 3x2 + x3) = 42 Combine like terms: 3x2 + 3x2 = 6x2 X(6 + 11x + 6x2 + x3) = 42 (6 * X + 11x * X + 6x2 * X + x3 * X) = 42 (6X + 11xX + 6x2X + x3X) = 42 Solving 6X + 11xX + 6x2X + x3X = 42 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Reorder the terms: -42 + 6X + 11xX + 6x2X + x3X = 42 + -42 Combine like terms: 42 + -42 = 0 -42 + 6X + 11xX + 6x2X + x3X = 0 The solution to this equation could not be determined.
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