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Simplifying x[(x + 1)(x + 2)(x + 3)] = 24 Reorder the terms: x[(1 + x)(x + 2)(x + 3)] = 24 Reorder the terms: x[(1 + x)(2 + x)(x + 3)] = 24 Reorder the terms: x[(1 + x)(2 + x)(3 + x)] = 24 Multiply (1 + x) * (2 + x) x[(1(2 + x) + x(2 + x))(3 + x)] = 24 x[((2 * 1 + x * 1) + x(2 + x))(3 + x)] = 24 x[((2 + 1x) + x(2 + x))(3 + x)] = 24 x[(2 + 1x + (2 * x + x * x))(3 + x)] = 24 x[(2 + 1x + (2x + x2))(3 + x)] = 24 Combine like terms: 1x + 2x = 3x x[(2 + 3x + x2)(3 + x)] = 24 Multiply (2 + 3x + x2) * (3 + x) x[(2(3 + x) + 3x * (3 + x) + x2(3 + x))] = 24 x[((3 * 2 + x * 2) + 3x * (3 + x) + x2(3 + x))] = 24 x[((6 + 2x) + 3x * (3 + x) + x2(3 + x))] = 24 x[(6 + 2x + (3 * 3x + x * 3x) + x2(3 + x))] = 24 x[(6 + 2x + (9x + 3x2) + x2(3 + x))] = 24 x[(6 + 2x + 9x + 3x2 + (3 * x2 + x * x2))] = 24 x[(6 + 2x + 9x + 3x2 + (3x2 + x3))] = 24 Combine like terms: 2x + 9x = 11x x[(6 + 11x + 3x2 + 3x2 + x3)] = 24 Combine like terms: 3x2 + 3x2 = 6x2 x[(6 + 11x + 6x2 + x3)] = 24 [6 * x + 11x * x + 6x2 * x + x3 * x] = 24 [6x + 11x2 + 6x3 + x4] = 24 Solving 6x + 11x2 + 6x3 + x4 = 24 Solving for variable 'x'. Reorder the terms: -24 + 6x + 11x2 + 6x3 + x4 = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 6x + 11x2 + 6x3 + x4 = 0 The solution to this equation could not be determined.
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