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Simplifying x(x + 2)(x + 4)(x + 6) + 16 = 0 Reorder the terms: x(2 + x)(x + 4)(x + 6) + 16 = 0 Reorder the terms: x(2 + x)(4 + x)(x + 6) + 16 = 0 Reorder the terms: x(2 + x)(4 + x)(6 + x) + 16 = 0 Multiply (2 + x) * (4 + x) x(2(4 + x) + x(4 + x))(6 + x) + 16 = 0 x((4 * 2 + x * 2) + x(4 + x))(6 + x) + 16 = 0 x((8 + 2x) + x(4 + x))(6 + x) + 16 = 0 x(8 + 2x + (4 * x + x * x))(6 + x) + 16 = 0 x(8 + 2x + (4x + x2))(6 + x) + 16 = 0 Combine like terms: 2x + 4x = 6x x(8 + 6x + x2)(6 + x) + 16 = 0 Multiply (8 + 6x + x2) * (6 + x) x(8(6 + x) + 6x * (6 + x) + x2(6 + x)) + 16 = 0 x((6 * 8 + x * 8) + 6x * (6 + x) + x2(6 + x)) + 16 = 0 x((48 + 8x) + 6x * (6 + x) + x2(6 + x)) + 16 = 0 x(48 + 8x + (6 * 6x + x * 6x) + x2(6 + x)) + 16 = 0 x(48 + 8x + (36x + 6x2) + x2(6 + x)) + 16 = 0 x(48 + 8x + 36x + 6x2 + (6 * x2 + x * x2)) + 16 = 0 x(48 + 8x + 36x + 6x2 + (6x2 + x3)) + 16 = 0 Combine like terms: 8x + 36x = 44x x(48 + 44x + 6x2 + 6x2 + x3) + 16 = 0 Combine like terms: 6x2 + 6x2 = 12x2 x(48 + 44x + 12x2 + x3) + 16 = 0 (48 * x + 44x * x + 12x2 * x + x3 * x) + 16 = 0 (48x + 44x2 + 12x3 + x4) + 16 = 0 Reorder the terms: 16 + 48x + 44x2 + 12x3 + x4 = 0 Solving 16 + 48x + 44x2 + 12x3 + x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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