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Simplifying x(x + 1)(x + 2)(x + 4) + 2 = 0 Reorder the terms: x(1 + x)(x + 2)(x + 4) + 2 = 0 Reorder the terms: x(1 + x)(2 + x)(x + 4) + 2 = 0 Reorder the terms: x(1 + x)(2 + x)(4 + x) + 2 = 0 Multiply (1 + x) * (2 + x) x(1(2 + x) + x(2 + x))(4 + x) + 2 = 0 x((2 * 1 + x * 1) + x(2 + x))(4 + x) + 2 = 0 x((2 + 1x) + x(2 + x))(4 + x) + 2 = 0 x(2 + 1x + (2 * x + x * x))(4 + x) + 2 = 0 x(2 + 1x + (2x + x2))(4 + x) + 2 = 0 Combine like terms: 1x + 2x = 3x x(2 + 3x + x2)(4 + x) + 2 = 0 Multiply (2 + 3x + x2) * (4 + x) x(2(4 + x) + 3x * (4 + x) + x2(4 + x)) + 2 = 0 x((4 * 2 + x * 2) + 3x * (4 + x) + x2(4 + x)) + 2 = 0 x((8 + 2x) + 3x * (4 + x) + x2(4 + x)) + 2 = 0 x(8 + 2x + (4 * 3x + x * 3x) + x2(4 + x)) + 2 = 0 x(8 + 2x + (12x + 3x2) + x2(4 + x)) + 2 = 0 x(8 + 2x + 12x + 3x2 + (4 * x2 + x * x2)) + 2 = 0 x(8 + 2x + 12x + 3x2 + (4x2 + x3)) + 2 = 0 Combine like terms: 2x + 12x = 14x x(8 + 14x + 3x2 + 4x2 + x3) + 2 = 0 Combine like terms: 3x2 + 4x2 = 7x2 x(8 + 14x + 7x2 + x3) + 2 = 0 (8 * x + 14x * x + 7x2 * x + x3 * x) + 2 = 0 (8x + 14x2 + 7x3 + x4) + 2 = 0 Reorder the terms: 2 + 8x + 14x2 + 7x3 + x4 = 0 Solving 2 + 8x + 14x2 + 7x3 + x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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