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Simplifying ((x + 1)(x + 2))((x + 1)(x + 2))((x + 1)(x + 2))((x + 1)(x + 2)) = 0 Reorder the terms: ((1 + x)(x + 2))((x + 1)(x + 2))((x + 1)(x + 2))((x + 1)(x + 2)) = 0 Reorder the terms: ((1 + x)(2 + x))((x + 1)(x + 2))((x + 1)(x + 2))((x + 1)(x + 2)) = 0 Multiply (1 + x) * (2 + x) ((1(2 + x) + x(2 + x)))((x + 1)(x + 2))((x + 1)(x + 2))((x + 1)(x + 2)) = 0 (((2 * 1 + x * 1) + x(2 + x)))((x + 1)(x + 2))((x + 1)(x + 2))((x + 1)(x + 2)) = 0 (((2 + 1x) + x(2 + x)))((x + 1)(x + 2))((x + 1)(x + 2))((x + 1)(x + 2)) = 0 ((2 + 1x + (2 * x + x * x)))((x + 1)(x + 2))((x + 1)(x + 2))((x + 1)(x + 2)) = 0 ((2 + 1x + (2x + x2)))((x + 1)(x + 2))((x + 1)(x + 2))((x + 1)(x + 2)) = 0 Combine like terms: 1x + 2x = 3x ((2 + 3x + x2))((x + 1)(x + 2))((x + 1)(x + 2))((x + 1)(x + 2)) = 0 Reorder the terms: (2 + 3x + x2)((1 + x)(x + 2))((x + 1)(x + 2))((x + 1)(x + 2)) = 0 Reorder the terms: (2 + 3x + x2)((1 + x)(2 + x))((x + 1)(x + 2))((x + 1)(x + 2)) = 0 Multiply (1 + x) * (2 + x) (2 + 3x + x2)((1(2 + x) + x(2 + x)))((x + 1)(x + 2))((x + 1)(x + 2)) = 0 (2 + 3x + x2)(((2 * 1 + x * 1) + x(2 + x)))((x + 1)(x + 2))((x + 1)(x + 2)) = 0 (2 + 3x + x2)(((2 + 1x) + x(2 + x)))((x + 1)(x + 2))((x + 1)(x + 2)) = 0 (2 + 3x + x2)((2 + 1x + (2 * x + x * x)))((x + 1)(x + 2))((x + 1)(x + 2)) = 0 (2 + 3x + x2)((2 + 1x + (2x + x2)))((x + 1)(x + 2))((x + 1)(x + 2)) = 0 Combine like terms: 1x + 2x = 3x (2 + 3x + x2)((2 + 3x + x2))((x + 1)(x + 2))((x + 1)(x + 2)) = 0 Reorder the terms: (2 + 3x + x2)(2 + 3x + x2)((1 + x)(x + 2))((x + 1)(x + 2)) = 0 Reorder the terms: (2 + 3x + x2)(2 + 3x + x2)((1 + x)(2 + x))((x + 1)(x + 2)) = 0 Multiply (1 + x) * (2 + x) (2 + 3x + x2)(2 + 3x + x2)((1(2 + x) + x(2 + x)))((x + 1)(x + 2)) = 0 (2 + 3x + x2)(2 + 3x + x2)(((2 * 1 + x * 1) + x(2 + x)))((x + 1)(x + 2)) = 0 (2 + 3x + x2)(2 + 3x + x2)(((2 + 1x) + x(2 + x)))((x + 1)(x + 2)) = 0 (2 + 3x + x2)(2 + 3x + x2)((2 + 1x + (2 * x + x * x)))((x + 1)(x + 2)) = 0 (2 + 3x + x2)(2 + 3x + x2)((2 + 1x + (2x + x2)))((x + 1)(x + 2)) = 0 Combine like terms: 1x + 2x = 3x (2 + 3x + x2)(2 + 3x + x2)((2 + 3x + x2))((x + 1)(x + 2)) = 0 Reorder the terms: (2 + 3x + x2)(2 + 3x + x2)(2 + 3x + x2)((1 + x)(x + 2)) = 0 Reorder the terms: (2 + 3x + x2)(2 + 3x + x2)(2 + 3x + x2)((1 + x)(2 + x)) = 0 Multiply (1 + x) * (2 + x) (2 + 3x + x2)(2 + 3x + x2)(2 + 3x + x2)((1(2 + x) + x(2 + x))) = 0 (2 + 3x + x2)(2 + 3x + x2)(2 + 3x + x2)(((2 * 1 + x * 1) + x(2 + x))) = 0 (2 + 3x + x2)(2 + 3x + x2)(2 + 3x + x2)(((2 + 1x) + x(2 + x))) = 0 (2 + 3x + x2)(2 + 3x + x2)(2 + 3x + x2)((2 + 1x + (2 * x + x * x))) = 0 (2 + 3x + x2)(2 + 3x + x2)(2 + 3x + x2)((2 + 1x + (2x + x2))) = 0 Combine like terms: 1x + 2x = 3x (2 + 3x + x2)(2 + 3x + x2)(2 + 3x + x2)((2 + 3x + x2)) = 0 Multiply (2 + 3x + x2) * (2 + 3x + x2) (2(2 + 3x + x2) + 3x * (2 + 3x + x2) + x2(2 + 3x + x2))(2 + 3x + x2)(2 + 3x + x2) = 0 ((2 * 2 + 3x * 2 + x2 * 2) + 3x * (2 + 3x + x2) + x2(2 + 3x + x2))(2 + 3x + x2)(2 + 3x + x2) = 0 ((4 + 6x + 2x2) + 3x * (2 + 3x + x2) + x2(2 + 3x + x2))(2 + 3x + x2)(2 + 3x + x2) = 0 (4 + 6x + 2x2 + (2 * 3x + 3x * 3x + x2 * 3x) + x2(2 + 3x + x2))(2 + 3x + x2)(2 + 3x + x2) = 0 (4 + 6x + 2x2 + (6x + 9x2 + 3x3) + x2(2 + 3x + x2))(2 + 3x + x2)(2 + 3x + x2) = 0 (4 + 6x + 2x2 + 6x + 9x2 + 3x3 + (2 * x2 + 3x * x2 + x2 * x2))(2 + 3x + x2)(2 + 3x + x2) = 0 (4 + 6x + 2x2 + 6x + 9x2 + 3x3 + (2x2 + 3x3 + x4))(2 + 3x + x2)(2 + 3x + x2) = 0 Reorder the terms: (4 + 6x + 6x + 2x2 + 9x2 + 2x2 + 3x3 + 3x3 + x4)(2 + 3x + x2)(2 + 3x + x2) = 0 Combine like terms: 6x + 6x = 12x (4 + 12x + 2x2 + 9x2 + 2x2 + 3x3 + 3x3 + x4)(2 + 3x + x2)(2 + 3x + x2) = 0 Combine like terms: 2x2 + 9x2 = 11x2 (4 + 12x + 11x2 + 2x2 + 3x3 + 3x3 + x4)(2 + 3x + x2)(2 + 3x + x2) = 0 Combine like terms: 11x2 + 2x2 = 13x2 (4 + 12x + 13x2 + 3x3 + 3x3 + x4)(2 + 3x + x2)(2 + 3x + x2) = 0 Combine like terms: 3x3 + 3x3 = 6x3 (4 + 12x + 13x2 + 6x3 + x4)(2 + 3x + x2)(2 + 3x + x2) = 0 Multiply (4 + 12x + 13x2 + 6x3 + x4) * (2 + 3x + x2) (4(2 + 3x + x2) + 12x * (2 + 3x + x2) + 13x2 * (2 + 3x + x2) + 6x3 * (2 + 3x + x2) + x4(2 + 3x + x2))(2 + 3x + x2) = 0 ((2 * 4 + 3x * 4 + x2 * 4) + 12x * (2 + 3x + x2) + 13x2 * (2 + 3x + x2) + 6x3 * (2 + 3x + x2) + x4(2 + 3x + x2))(2 + 3x + x2) = 0 ((8 + 12x + 4x2) + 12x * (2 + 3x + x2) + 13x2 * (2 + 3x + x2) + 6x3 * (2 + 3x + x2) + x4(2 + 3x + x2))(2 + 3x + x2) = 0 (8 + 12x + 4x2 + (2 * 12x + 3x * 12x + x2 * 12x) + 13x2 * (2 + 3x + x2) + 6x3 * (2 + 3x + x2) + x4(2 + 3x + x2))(2 + 3x + x2) = 0 (8 + 12x + 4x2 + (24x + 36x2 + 12x3) + 13x2 * (2 + 3x + x2) + 6x3 * (2 + 3x + x2) + x4(2 + 3x + x2))(2 + 3x + x2) = 0 (8 + 12x + 4x2 + 24x + 36x2 + 12x3 + (2 * 13x2 + 3x * 13x2 + x2 * 13x2) + 6x3 * (2 + 3x + x2) + x4(2 + 3x + x2))(2 + 3x + x2) = 0 (8 + 12x + 4x2 + 24x + 36x2 + 12x3 + (26x2 + 39x3 + 13x4) + 6x3 * (2 + 3x + x2) + x4(2 + 3x + x2))(2 + 3x + x2) = 0 (8 + 12x + 4x2 + 24x + 36x2 + 12x3 + 26x2 + 39x3 + 13x4 + (2 * 6x3 + 3x * 6x3 + x2 * 6x3) + x4(2 + 3x + x2))(2 + 3x + x2) = 0 (8 + 12x + 4x2 + 24x + 36x2 + 12x3 + 26x2 + 39x3 + 13x4 + (12x3 + 18x4 + 6x5) + x4(2 + 3x + x2))(2 + 3x + x2) = 0 (8 + 12x + 4x2 + 24x + 36x2 + 12x3 + 26x2 + 39x3 + 13x4 + 12x3 + 18x4 + 6x5 + (2 * x4 + 3x * x4 + x2 * x4))(2 + 3x + x2) = 0 (8 + 12x + 4x2 + 24x + 36x2 + 12x3 + 26x2 + 39x3 + 13x4 + 12x3 + 18x4 + 6x5 + (2x4 + 3x5 + x6))(2 + 3x + x2) = 0 Reorder the terms: (8 + 12x + 24x + 4x2 + 36x2 + 26x2 + 12x3 + 39x3 + 12x3 + 13x4 + 18x4 + 2x4 + 6x5 + 3x5 + x6)(2 + 3x + x2) = 0 Combine like terms: 12x + 24x = 36x (8 + 36x + 4x2 + 36x2 + 26x2 + 12x3 + 39x3 + 12x3 + 13x4 + 18x4 + 2x4 + 6x5 + 3x5 + x6)(2 + 3x + x2) = 0 Combine like terms: 4x2 + 36x2 = 40x2 (8 + 36x + 40x2 + 26x2 + 12x3 + 39x3 + 12x3 + 13x4 + 18x4 + 2x4 + 6x5 + 3x5 + x6)(2 + 3x + x2) = 0 Combine like terms: 40x2 + 26x2 = 66x2 (8 + 36x + 66x2 + 12x3 + 39x3 + 12x3 + 13x4 + 18x4 + 2x4 + 6x5 + 3x5 + x6)(2 + 3x + x2) = 0 Combine like terms: 12x3 + 39x3 = 51x3 (8 + 36x + 66x2 + 51x3 + 12x3 + 13x4 + 18x4 + 2x4 + 6x5 + 3x5 + x6)(2 + 3x + x2) = 0 Combine like terms: 51x3 + 12x3 = 63x3 (8 + 36x + 66x2 + 63x3 + 13x4 + 18x4 + 2x4 + 6x5 + 3x5 + x6)(2 + 3x + x2) = 0 Combine like terms: 13x4 + 18x4 = 31x4 (8 + 36x + 66x2 + 63x3 + 31x4 + 2x4 + 6x5 + 3x5 + x6)(2 + 3x + x2) = 0 Combine like terms: 31x4 + 2x4 = 33x4 (8 + 36x + 66x2 + 63x3 + 33x4 + 6x5 + 3x5 + x6)(2 + 3x + x2) = 0 Combine like terms: 6x5 + 3x5 = 9x5 (8 + 36x + 66x2 + 63x3 + 33x4 + 9x5 + x6)(2 + 3x + x2) = 0 Multiply (8 + 36x + 66x2 + 63x3 + 33x4 + 9x5 + x6) * (2 + 3x + x2) (8(2 + 3x + x2) + 36x * (2 + 3x + x2) + 66x2 * (2 + 3x + x2) + 63x3 * (2 + 3x + x2) + 33x4 * (2 + 3x + x2) + 9x5 * (2 + 3x + x2) + x6(2 + 3x + x2)) = 0 ((2 * 8 + 3x * 8 + x2 * 8) + 36x * (2 + 3x + x2) + 66x2 * (2 + 3x + x2) + 63x3 * (2 + 3x + x2) + 33x4 * (2 + 3x + x2) + 9x5 * (2 + 3x + x2) + x6(2 + 3x + x2)) = 0 ((16 + 24x + 8x2) + 36x * (2 + 3x + x2) + 66x2 * (2 + 3x + x2) + 63x3 * (2 + 3x + x2) + 33x4 * (2 + 3x + x2) + 9x5 * (2 + 3x + x2) + x6(2 + 3x + x2)) = 0 (16 + 24x + 8x2 + (2 * 36x + 3x * 36x + x2 * 36x) + 66x2 * (2 + 3x + x2) + 63x3 * (2 + 3x + x2) + 33x4 * (2 + 3x + x2) + 9x5 * (2 + 3x + x2) + x6(2 + 3x + x2)) = 0 (16 + 24x + 8x2 + (72x + 108x2 + 36x3) + 66x2 * (2 + 3x + x2) + 63x3 * (2 + 3x + x2) + 33x4 * (2 + 3x + x2) + 9x5 * (2 + 3x + x2) + x6(2 + 3x + x2)) = 0 (16 + 24x + 8x2 + 72x + 108x2 + 36x3 + (2 * 66x2 + 3x * 66x2 + x2 * 66x2) + 63x3 * (2 + 3x + x2) + 33x4 * (2 + 3x + x2) + 9x5 * (2 + 3x + x2) + x6(2 + 3x + x2)) = 0 (16 + 24x + 8x2 + 72x + 108x2 + 36x3 + (132x2 + 198x3 + 66x4) + 63x3 * (2 + 3x + x2) + 33x4 * (2 + 3x + x2) + 9x5 * (2 + 3x + x2) + x6(2 + 3x + x2)) = 0 (16 + 24x + 8x2 + 72x + 108x2 + 36x3 + 132x2 + 198x3 + 66x4 + (2 * 63x3 + 3x * 63x3 + x2 * 63x3) + 33x4 * (2 + 3x + x2) + 9x5 * (2 + 3x + x2) + x6(2 + 3x + x2)) = 0 (16 + 24x + 8x2 + 72x + 108x2 + 36x3 + 132x2 + 198x3 + 66x4 + (126x3 + 189x4 + 63x5) + 33x4 * (2 + 3x + x2) + 9x5 * (2 + 3x + x2) + x6(2 + 3x + x2)) = 0 (16 + 24x + 8x2 + 72x + 108x2 + 36x3 + 132x2 + 198x3 + 66x4 + 126x3 + 189x4 + 63x5 + (2 * 33x4 + 3x * 33x4 + x2 * 33x4) + 9x5 * (2 + 3x + x2) + x6(2 + 3x + x2)) = 0 (16 + 24x + 8x2 + 72x + 108x2 + 36x3 + 132x2 + 198x3 + 66x4 + 126x3 + 189x4 + 63x5 + (66x4 + 99x5 + 33x6) + 9x5 * (2 + 3x + x2) + x6(2 + 3x + x2)) = 0 (16 + 24x + 8x2 + 72x + 108x2 + 36x3 + 132x2 + 198x3 + 66x4 + 126x3 + 189x4 + 63x5 + 66x4 + 99x5 + 33x6 + (2 * 9x5 + 3x * 9x5 + x2 * 9x5) + x6(2 + 3x + x2)) = 0 (16 + 24x + 8x2 + 72x + 108x2 + 36x3 + 132x2 + 198x3 + 66x4 + 126x3 + 189x4 + 63x5 + 66x4 + 99x5 + 33x6 + (18x5 + 27x6 + 9x7) + x6(2 + 3x + x2)) = 0 (16 + 24x + 8x2 + 72x + 108x2 + 36x3 + 132x2 + 198x3 + 66x4 + 126x3 + 189x4 + 63x5 + 66x4 + 99x5 + 33x6 + 18x5 + 27x6 + 9x7 + (2 * x6 + 3x * x6 + x2 * x6)) = 0 (16 + 24x + 8x2 + 72x + 108x2 + 36x3 + 132x2 + 198x3 + 66x4 + 126x3 + 189x4 + 63x5 + 66x4 + 99x5 + 33x6 + 18x5 + 27x6 + 9x7 + (2x6 + 3x7 + x8)) = 0 Reorder the terms: (16 + 24x + 72x + 8x2 + 108x2 + 132x2 + 36x3 + 198x3 + 126x3 + 66x4 + 189x4 + 66x4 + 63x5 + 99x5 + 18x5 + 33x6 + 27x6 + 2x6 + 9x7 + 3x7 + x8) = 0 Combine like terms: 24x + 72x = 96x (16 + 96x + 8x2 + 108x2 + 132x2 + 36x3 + 198x3 + 126x3 + 66x4 + 189x4 + 66x4 + 63x5 + 99x5 + 18x5 + 33x6 + 27x6 + 2x6 + 9x7 + 3x7 + x8) = 0 Combine like terms: 8x2 + 108x2 = 116x2 (16 + 96x + 116x2 + 132x2 + 36x3 + 198x3 + 126x3 + 66x4 + 189x4 + 66x4 + 63x5 + 99x5 + 18x5 + 33x6 + 27x6 + 2x6 + 9x7 + 3x7 + x8) = 0 Combine like terms: 116x2 + 132x2 = 248x2 (16 + 96x + 248x2 + 36x3 + 198x3 + 126x3 + 66x4 + 189x4 + 66x4 + 63x5 + 99x5 + 18x5 + 33x6 + 27x6 + 2x6 + 9x7 + 3x7 + x8) = 0 Combine like terms: 36x3 + 198x3 = 234x3 (16 + 96x + 248x2 + 234x3 + 126x3 + 66x4 + 189x4 + 66x4 + 63x5 + 99x5 + 18x5 + 33x6 + 27x6 + 2x6 + 9x7 + 3x7 + x8) = 0 Combine like terms: 234x3 + 126x3 = 360x3 (16 + 96x + 248x2 + 360x3 + 66x4 + 189x4 + 66x4 + 63x5 + 99x5 + 18x5 + 33x6 + 27x6 + 2x6 + 9x7 + 3x7 + x8) = 0 Combine like terms: 66x4 + 189x4 = 255x4 (16 + 96x + 248x2 + 360x3 + 255x4 + 66x4 + 63x5 + 99x5 + 18x5 + 33x6 + 27x6 + 2x6 + 9x7 + 3x7 + x8) = 0 Combine like terms: 255x4 + 66x4 = 321x4 (16 + 96x + 248x2 + 360x3 + 321x4 + 63x5 + 99x5 + 18x5 + 33x6 + 27x6 + 2x6 + 9x7 + 3x7 + x8) = 0 Combine like terms: 63x5 + 99x5 = 162x5 (16 + 96x + 248x2 + 360x3 + 321x4 + 162x5 + 18x5 + 33x6 + 27x6 + 2x6 + 9x7 + 3x7 + x8) = 0 Combine like terms: 162x5 + 18x5 = 180x5 (16 + 96x + 248x2 + 360x3 + 321x4 + 180x5 + 33x6 + 27x6 + 2x6 + 9x7 + 3x7 + x8) = 0 Combine like terms: 33x6 + 27x6 = 60x6 (16 + 96x + 248x2 + 360x3 + 321x4 + 180x5 + 60x6 + 2x6 + 9x7 + 3x7 + x8) = 0 Combine like terms: 60x6 + 2x6 = 62x6 (16 + 96x + 248x2 + 360x3 + 321x4 + 180x5 + 62x6 + 9x7 + 3x7 + x8) = 0 Combine like terms: 9x7 + 3x7 = 12x7 (16 + 96x + 248x2 + 360x3 + 321x4 + 180x5 + 62x6 + 12x7 + x8) = 0 Solving 16 + 96x + 248x2 + 360x3 + 321x4 + 180x5 + 62x6 + 12x7 + x8 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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