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Simplifying v = x(3x2 + 9x + 6)(3x2 + 3x + 6x + 6)(3x(x + 1) + 6(x + 1))(3x + 6)(x + 1) Reorder the terms: v = x(6 + 9x + 3x2)(3x2 + 3x + 6x + 6)(3x(x + 1) + 6(x + 1))(3x + 6)(x + 1) Reorder the terms: v = x(6 + 9x + 3x2)(6 + 3x + 6x + 3x2)(3x(x + 1) + 6(x + 1))(3x + 6)(x + 1) Combine like terms: 3x + 6x = 9x v = x(6 + 9x + 3x2)(6 + 9x + 3x2)(3x(x + 1) + 6(x + 1))(3x + 6)(x + 1) Reorder the terms: v = x(6 + 9x + 3x2)(6 + 9x + 3x2)(3x(1 + x) + 6(x + 1))(3x + 6)(x + 1) v = x(6 + 9x + 3x2)(6 + 9x + 3x2)((1 * 3x + x * 3x) + 6(x + 1))(3x + 6)(x + 1) v = x(6 + 9x + 3x2)(6 + 9x + 3x2)((3x + 3x2) + 6(x + 1))(3x + 6)(x + 1) Reorder the terms: v = x(6 + 9x + 3x2)(6 + 9x + 3x2)(3x + 3x2 + 6(1 + x))(3x + 6)(x + 1) v = x(6 + 9x + 3x2)(6 + 9x + 3x2)(3x + 3x2 + (1 * 6 + x * 6))(3x + 6)(x + 1) v = x(6 + 9x + 3x2)(6 + 9x + 3x2)(3x + 3x2 + (6 + 6x))(3x + 6)(x + 1) Reorder the terms: v = x(6 + 9x + 3x2)(6 + 9x + 3x2)(6 + 3x + 6x + 3x2)(3x + 6)(x + 1) Combine like terms: 3x + 6x = 9x v = x(6 + 9x + 3x2)(6 + 9x + 3x2)(6 + 9x + 3x2)(3x + 6)(x + 1) Reorder the terms: v = x(6 + 9x + 3x2)(6 + 9x + 3x2)(6 + 9x + 3x2)(6 + 3x)(x + 1) Reorder the terms: v = x(6 + 9x + 3x2)(6 + 9x + 3x2)(6 + 9x + 3x2)(6 + 3x)(1 + x) Multiply (6 + 9x + 3x2) * (6 + 9x + 3x2) v = x(6(6 + 9x + 3x2) + 9x * (6 + 9x + 3x2) + 3x2 * (6 + 9x + 3x2))(6 + 9x + 3x2)(6 + 3x)(1 + x) v = x((6 * 6 + 9x * 6 + 3x2 * 6) + 9x * (6 + 9x + 3x2) + 3x2 * (6 + 9x + 3x2))(6 + 9x + 3x2)(6 + 3x)(1 + x) v = x((36 + 54x + 18x2) + 9x * (6 + 9x + 3x2) + 3x2 * (6 + 9x + 3x2))(6 + 9x + 3x2)(6 + 3x)(1 + x) v = x(36 + 54x + 18x2 + (6 * 9x + 9x * 9x + 3x2 * 9x) + 3x2 * (6 + 9x + 3x2))(6 + 9x + 3x2)(6 + 3x)(1 + x) v = x(36 + 54x + 18x2 + (54x + 81x2 + 27x3) + 3x2 * (6 + 9x + 3x2))(6 + 9x + 3x2)(6 + 3x)(1 + x) v = x(36 + 54x + 18x2 + 54x + 81x2 + 27x3 + (6 * 3x2 + 9x * 3x2 + 3x2 * 3x2))(6 + 9x + 3x2)(6 + 3x)(1 + x) v = x(36 + 54x + 18x2 + 54x + 81x2 + 27x3 + (18x2 + 27x3 + 9x4))(6 + 9x + 3x2)(6 + 3x)(1 + x) Reorder the terms: v = x(36 + 54x + 54x + 18x2 + 81x2 + 18x2 + 27x3 + 27x3 + 9x4)(6 + 9x + 3x2)(6 + 3x)(1 + x) Combine like terms: 54x + 54x = 108x v = x(36 + 108x + 18x2 + 81x2 + 18x2 + 27x3 + 27x3 + 9x4)(6 + 9x + 3x2)(6 + 3x)(1 + x) Combine like terms: 18x2 + 81x2 = 99x2 v = x(36 + 108x + 99x2 + 18x2 + 27x3 + 27x3 + 9x4)(6 + 9x + 3x2)(6 + 3x)(1 + x) Combine like terms: 99x2 + 18x2 = 117x2 v = x(36 + 108x + 117x2 + 27x3 + 27x3 + 9x4)(6 + 9x + 3x2)(6 + 3x)(1 + x) Combine like terms: 27x3 + 27x3 = 54x3 v = x(36 + 108x + 117x2 + 54x3 + 9x4)(6 + 9x + 3x2)(6 + 3x)(1 + x) Multiply (36 + 108x + 117x2 + 54x3 + 9x4) * (6 + 9x + 3x2) v = x(36(6 + 9x + 3x2) + 108x * (6 + 9x + 3x2) + 117x2 * (6 + 9x + 3x2) + 54x3 * (6 + 9x + 3x2) + 9x4 * (6 + 9x + 3x2))(6 + 3x)(1 + x) v = x((6 * 36 + 9x * 36 + 3x2 * 36) + 108x * (6 + 9x + 3x2) + 117x2 * (6 + 9x + 3x2) + 54x3 * (6 + 9x + 3x2) + 9x4 * (6 + 9x + 3x2))(6 + 3x)(1 + x) v = x((216 + 324x + 108x2) + 108x * (6 + 9x + 3x2) + 117x2 * (6 + 9x + 3x2) + 54x3 * (6 + 9x + 3x2) + 9x4 * (6 + 9x + 3x2))(6 + 3x)(1 + x) v = x(216 + 324x + 108x2 + (6 * 108x + 9x * 108x + 3x2 * 108x) + 117x2 * (6 + 9x + 3x2) + 54x3 * (6 + 9x + 3x2) + 9x4 * (6 + 9x + 3x2))(6 + 3x)(1 + x) v = x(216 + 324x + 108x2 + (648x + 972x2 + 324x3) + 117x2 * (6 + 9x + 3x2) + 54x3 * (6 + 9x + 3x2) + 9x4 * (6 + 9x + 3x2))(6 + 3x)(1 + x) v = x(216 + 324x + 108x2 + 648x + 972x2 + 324x3 + (6 * 117x2 + 9x * 117x2 + 3x2 * 117x2) + 54x3 * (6 + 9x + 3x2) + 9x4 * (6 + 9x + 3x2))(6 + 3x)(1 + x) v = x(216 + 324x + 108x2 + 648x + 972x2 + 324x3 + (702x2 + 1053x3 + 351x4) + 54x3 * (6 + 9x + 3x2) + 9x4 * (6 + 9x + 3x2))(6 + 3x)(1 + x) v = x(216 + 324x + 108x2 + 648x + 972x2 + 324x3 + 702x2 + 1053x3 + 351x4 + (6 * 54x3 + 9x * 54x3 + 3x2 * 54x3) + 9x4 * (6 + 9x + 3x2))(6 + 3x)(1 + x) v = x(216 + 324x + 108x2 + 648x + 972x2 + 324x3 + 702x2 + 1053x3 + 351x4 + (324x3 + 486x4 + 162x5) + 9x4 * (6 + 9x + 3x2))(6 + 3x)(1 + x) v = x(216 + 324x + 108x2 + 648x + 972x2 + 324x3 + 702x2 + 1053x3 + 351x4 + 324x3 + 486x4 + 162x5 + (6 * 9x4 + 9x * 9x4 + 3x2 * 9x4))(6 + 3x)(1 + x) v = x(216 + 324x + 108x2 + 648x + 972x2 + 324x3 + 702x2 + 1053x3 + 351x4 + 324x3 + 486x4 + 162x5 + (54x4 + 81x5 + 27x6))(6 + 3x)(1 + x) Reorder the terms: v = x(216 + 324x + 648x + 108x2 + 972x2 + 702x2 + 324x3 + 1053x3 + 324x3 + 351x4 + 486x4 + 54x4 + 162x5 + 81x5 + 27x6)(6 + 3x)(1 + x) Combine like terms: 324x + 648x = 972x v = x(216 + 972x + 108x2 + 972x2 + 702x2 + 324x3 + 1053x3 + 324x3 + 351x4 + 486x4 + 54x4 + 162x5 + 81x5 + 27x6)(6 + 3x)(1 + x) Combine like terms: 108x2 + 972x2 = 1080x2 v = x(216 + 972x + 1080x2 + 702x2 + 324x3 + 1053x3 + 324x3 + 351x4 + 486x4 + 54x4 + 162x5 + 81x5 + 27x6)(6 + 3x)(1 + x) Combine like terms: 1080x2 + 702x2 = 1782x2 v = x(216 + 972x + 1782x2 + 324x3 + 1053x3 + 324x3 + 351x4 + 486x4 + 54x4 + 162x5 + 81x5 + 27x6)(6 + 3x)(1 + x) Combine like terms: 324x3 + 1053x3 = 1377x3 v = x(216 + 972x + 1782x2 + 1377x3 + 324x3 + 351x4 + 486x4 + 54x4 + 162x5 + 81x5 + 27x6)(6 + 3x)(1 + x) Combine like terms: 1377x3 + 324x3 = 1701x3 v = x(216 + 972x + 1782x2 + 1701x3 + 351x4 + 486x4 + 54x4 + 162x5 + 81x5 + 27x6)(6 + 3x)(1 + x) Combine like terms: 351x4 + 486x4 = 837x4 v = x(216 + 972x + 1782x2 + 1701x3 + 837x4 + 54x4 + 162x5 + 81x5 + 27x6)(6 + 3x)(1 + x) Combine like terms: 837x4 + 54x4 = 891x4 v = x(216 + 972x + 1782x2 + 1701x3 + 891x4 + 162x5 + 81x5 + 27x6)(6 + 3x)(1 + x) Combine like terms: 162x5 + 81x5 = 243x5 v = x(216 + 972x + 1782x2 + 1701x3 + 891x4 + 243x5 + 27x6)(6 + 3x)(1 + x) Multiply (216 + 972x + 1782x2 + 1701x3 + 891x4 + 243x5 + 27x6) * (6 + 3x) v = x(216(6 + 3x) + 972x * (6 + 3x) + 1782x2 * (6 + 3x) + 1701x3 * (6 + 3x) + 891x4 * (6 + 3x) + 243x5 * (6 + 3x) + 27x6 * (6 + 3x))(1 + x) v = x((6 * 216 + 3x * 216) + 972x * (6 + 3x) + 1782x2 * (6 + 3x) + 1701x3 * (6 + 3x) + 891x4 * (6 + 3x) + 243x5 * (6 + 3x) + 27x6 * (6 + 3x))(1 + x) v = x((1296 + 648x) + 972x * (6 + 3x) + 1782x2 * (6 + 3x) + 1701x3 * (6 + 3x) + 891x4 * (6 + 3x) + 243x5 * (6 + 3x) + 27x6 * (6 + 3x))(1 + x) v = x(1296 + 648x + (6 * 972x + 3x * 972x) + 1782x2 * (6 + 3x) + 1701x3 * (6 + 3x) + 891x4 * (6 + 3x) + 243x5 * (6 + 3x) + 27x6 * (6 + 3x))(1 + x) v = x(1296 + 648x + (5832x + 2916x2) + 1782x2 * (6 + 3x) + 1701x3 * (6 + 3x) + 891x4 * (6 + 3x) + 243x5 * (6 + 3x) + 27x6 * (6 + 3x))(1 + x) v = x(1296 + 648x + 5832x + 2916x2 + (6 * 1782x2 + 3x * 1782x2) + 1701x3 * (6 + 3x) + 891x4 * (6 + 3x) + 243x5 * (6 + 3x) + 27x6 * (6 + 3x))(1 + x) v = x(1296 + 648x + 5832x + 2916x2 + (10692x2 + 5346x3) + 1701x3 * (6 + 3x) + 891x4 * (6 + 3x) + 243x5 * (6 + 3x) + 27x6 * (6 + 3x))(1 + x) v = x(1296 + 648x + 5832x + 2916x2 + 10692x2 + 5346x3 + (6 * 1701x3 + 3x * 1701x3) + 891x4 * (6 + 3x) + 243x5 * (6 + 3x) + 27x6 * (6 + 3x))(1 + x) v = x(1296 + 648x + 5832x + 2916x2 + 10692x2 + 5346x3 + (10206x3 + 5103x4) + 891x4 * (6 + 3x) + 243x5 * (6 + 3x) + 27x6 * (6 + 3x))(1 + x) v = x(1296 + 648x + 5832x + 2916x2 + 10692x2 + 5346x3 + 10206x3 + 5103x4 + (6 * 891x4 + 3x * 891x4) + 243x5 * (6 + 3x) + 27x6 * (6 + 3x))(1 + x) v = x(1296 + 648x + 5832x + 2916x2 + 10692x2 + 5346x3 + 10206x3 + 5103x4 + (5346x4 + 2673x5) + 243x5 * (6 + 3x) + 27x6 * (6 + 3x))(1 + x) v = x(1296 + 648x + 5832x + 2916x2 + 10692x2 + 5346x3 + 10206x3 + 5103x4 + 5346x4 + 2673x5 + (6 * 243x5 + 3x * 243x5) + 27x6 * (6 + 3x))(1 + x) v = x(1296 + 648x + 5832x + 2916x2 + 10692x2 + 5346x3 + 10206x3 + 5103x4 + 5346x4 + 2673x5 + (1458x5 + 729x6) + 27x6 * (6 + 3x))(1 + x) v = x(1296 + 648x + 5832x + 2916x2 + 10692x2 + 5346x3 + 10206x3 + 5103x4 + 5346x4 + 2673x5 + 1458x5 + 729x6 + (6 * 27x6 + 3x * 27x6))(1 + x) v = x(1296 + 648x + 5832x + 2916x2 + 10692x2 + 5346x3 + 10206x3 + 5103x4 + 5346x4 + 2673x5 + 1458x5 + 729x6 + (162x6 + 81x7))(1 + x) Combine like terms: 648x + 5832x = 6480x v = x(1296 + 6480x + 2916x2 + 10692x2 + 5346x3 + 10206x3 + 5103x4 + 5346x4 + 2673x5 + 1458x5 + 729x6 + 162x6 + 81x7)(1 + x) Combine like terms: 2916x2 + 10692x2 = 13608x2 v = x(1296 + 6480x + 13608x2 + 5346x3 + 10206x3 + 5103x4 + 5346x4 + 2673x5 + 1458x5 + 729x6 + 162x6 + 81x7)(1 + x) Combine like terms: 5346x3 + 10206x3 = 15552x3 v = x(1296 + 6480x + 13608x2 + 15552x3 + 5103x4 + 5346x4 + 2673x5 + 1458x5 + 729x6 + 162x6 + 81x7)(1 + x) Combine like terms: 5103x4 + 5346x4 = 10449x4 v = x(1296 + 6480x + 13608x2 + 15552x3 + 10449x4 + 2673x5 + 1458x5 + 729x6 + 162x6 + 81x7)(1 + x) Combine like terms: 2673x5 + 1458x5 = 4131x5 v = x(1296 + 6480x + 13608x2 + 15552x3 + 10449x4 + 4131x5 + 729x6 + 162x6 + 81x7)(1 + x) Combine like terms: 729x6 + 162x6 = 891x6 v = x(1296 + 6480x + 13608x2 + 15552x3 + 10449x4 + 4131x5 + 891x6 + 81x7)(1 + x) Multiply (1296 + 6480x + 13608x2 + 15552x3 + 10449x4 + 4131x5 + 891x6 + 81x7) * (1 + x) v = x(1296(1 + x) + 6480x * (1 + x) + 13608x2 * (1 + x) + 15552x3 * (1 + x) + 10449x4 * (1 + x) + 4131x5 * (1 + x) + 891x6 * (1 + x) + 81x7 * (1 + x)) v = x((1 * 1296 + x * 1296) + 6480x * (1 + x) + 13608x2 * (1 + x) + 15552x3 * (1 + x) + 10449x4 * (1 + x) + 4131x5 * (1 + x) + 891x6 * (1 + x) + 81x7 * (1 + x)) v = x((1296 + 1296x) + 6480x * (1 + x) + 13608x2 * (1 + x) + 15552x3 * (1 + x) + 10449x4 * (1 + x) + 4131x5 * (1 + x) + 891x6 * (1 + x) + 81x7 * (1 + x)) v = x(1296 + 1296x + (1 * 6480x + x * 6480x) + 13608x2 * (1 + x) + 15552x3 * (1 + x) + 10449x4 * (1 + x) + 4131x5 * (1 + x) + 891x6 * (1 + x) + 81x7 * (1 + x)) v = x(1296 + 1296x + (6480x + 6480x2) + 13608x2 * (1 + x) + 15552x3 * (1 + x) + 10449x4 * (1 + x) + 4131x5 * (1 + x) + 891x6 * (1 + x) + 81x7 * (1 + x)) v = x(1296 + 1296x + 6480x + 6480x2 + (1 * 13608x2 + x * 13608x2) + 15552x3 * (1 + x) + 10449x4 * (1 + x) + 4131x5 * (1 + x) + 891x6 * (1 + x) + 81x7 * (1 + x)) v = x(1296 + 1296x + 6480x + 6480x2 + (13608x2 + 13608x3) + 15552x3 * (1 + x) + 10449x4 * (1 + x) + 4131x5 * (1 + x) + 891x6 * (1 + x) + 81x7 * (1 + x)) v = x(1296 + 1296x + 6480x + 6480x2 + 13608x2 + 13608x3 + (1 * 15552x3 + x * 15552x3) + 10449x4 * (1 + x) + 4131x5 * (1 + x) + 891x6 * (1 + x) + 81x7 * (1 + x)) v = x(1296 + 1296x + 6480x + 6480x2 + 13608x2 + 13608x3 + (15552x3 + 15552x4) + 10449x4 * (1 + x) + 4131x5 * (1 + x) + 891x6 * (1 + x) + 81x7 * (1 + x)) v = x(1296 + 1296x + 6480x + 6480x2 + 13608x2 + 13608x3 + 15552x3 + 15552x4 + (1 * 10449x4 + x * 10449x4) + 4131x5 * (1 + x) + 891x6 * (1 + x) + 81x7 * (1 + x)) v = x(1296 + 1296x + 6480x + 6480x2 + 13608x2 + 13608x3 + 15552x3 + 15552x4 + (10449x4 + 10449x5) + 4131x5 * (1 + x) + 891x6 * (1 + x) + 81x7 * (1 + x)) v = x(1296 + 1296x + 6480x + 6480x2 + 13608x2 + 13608x3 + 15552x3 + 15552x4 + 10449x4 + 10449x5 + (1 * 4131x5 + x * 4131x5) + 891x6 * (1 + x) + 81x7 * (1 + x)) v = x(1296 + 1296x + 6480x + 6480x2 + 13608x2 + 13608x3 + 15552x3 + 15552x4 + 10449x4 + 10449x5 + (4131x5 + 4131x6) + 891x6 * (1 + x) + 81x7 * (1 + x)) v = x(1296 + 1296x + 6480x + 6480x2 + 13608x2 + 13608x3 + 15552x3 + 15552x4 + 10449x4 + 10449x5 + 4131x5 + 4131x6 + (1 * 891x6 + x * 891x6) + 81x7 * (1 + x)) v = x(1296 + 1296x + 6480x + 6480x2 + 13608x2 + 13608x3 + 15552x3 + 15552x4 + 10449x4 + 10449x5 + 4131x5 + 4131x6 + (891x6 + 891x7) + 81x7 * (1 + x)) v = x(1296 + 1296x + 6480x + 6480x2 + 13608x2 + 13608x3 + 15552x3 + 15552x4 + 10449x4 + 10449x5 + 4131x5 + 4131x6 + 891x6 + 891x7 + (1 * 81x7 + x * 81x7)) v = x(1296 + 1296x + 6480x + 6480x2 + 13608x2 + 13608x3 + 15552x3 + 15552x4 + 10449x4 + 10449x5 + 4131x5 + 4131x6 + 891x6 + 891x7 + (81x7 + 81x8)) Combine like terms: 1296x + 6480x = 7776x v = x(1296 + 7776x + 6480x2 + 13608x2 + 13608x3 + 15552x3 + 15552x4 + 10449x4 + 10449x5 + 4131x5 + 4131x6 + 891x6 + 891x7 + 81x7 + 81x8) Combine like terms: 6480x2 + 13608x2 = 20088x2 v = x(1296 + 7776x + 20088x2 + 13608x3 + 15552x3 + 15552x4 + 10449x4 + 10449x5 + 4131x5 + 4131x6 + 891x6 + 891x7 + 81x7 + 81x8) Combine like terms: 13608x3 + 15552x3 = 29160x3 v = x(1296 + 7776x + 20088x2 + 29160x3 + 15552x4 + 10449x4 + 10449x5 + 4131x5 + 4131x6 + 891x6 + 891x7 + 81x7 + 81x8) Combine like terms: 15552x4 + 10449x4 = 26001x4 v = x(1296 + 7776x + 20088x2 + 29160x3 + 26001x4 + 10449x5 + 4131x5 + 4131x6 + 891x6 + 891x7 + 81x7 + 81x8) Combine like terms: 10449x5 + 4131x5 = 14580x5 v = x(1296 + 7776x + 20088x2 + 29160x3 + 26001x4 + 14580x5 + 4131x6 + 891x6 + 891x7 + 81x7 + 81x8) Combine like terms: 4131x6 + 891x6 = 5022x6 v = x(1296 + 7776x + 20088x2 + 29160x3 + 26001x4 + 14580x5 + 5022x6 + 891x7 + 81x7 + 81x8) Combine like terms: 891x7 + 81x7 = 972x7 v = x(1296 + 7776x + 20088x2 + 29160x3 + 26001x4 + 14580x5 + 5022x6 + 972x7 + 81x8) v = (1296 * x + 7776x * x + 20088x2 * x + 29160x3 * x + 26001x4 * x + 14580x5 * x + 5022x6 * x + 972x7 * x + 81x8 * x) v = (1296x + 7776x2 + 20088x3 + 29160x4 + 26001x5 + 14580x6 + 5022x7 + 972x8 + 81x9) Solving v = 1296x + 7776x2 + 20088x3 + 29160x4 + 26001x5 + 14580x6 + 5022x7 + 972x8 + 81x9 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Simplifying v = 1296x + 7776x2 + 20088x3 + 29160x4 + 26001x5 + 14580x6 + 5022x7 + 972x8 + 81x9
| -6x+3(-10+2x)=-30 | | -6x+3(-2x-10)=-30 | | a-10a+14=0 | | 1-x+2(4+2x)=-6 | | x+2x/3+x/2+x/7=97 | | 9x-4x-31=15x | | 2/5*(-3/7)-1/6*3/2+1/14*2/5= | | 8x-4=12x+8 | | -3/2x-3/2(-3/20x)=9/4 | | 0.50x+.05(10-x)=.10(41) | | 0.1x+0.5(-21.6-0.2x)=-12.3 | | (2+w)(5w+7)=0 | | 42ab+27a^2b^2+8= | | 0.1y+0.5(21.6-y)=-12.3 | | 8-3x=5x-64 | | -6x+2(14+3x)=28 | | 10x+2(-20-5x)=-24 | | -2x-7+2x=3x-5 | | 16t^2-201t-93=0 | | m=c*(1+i*t) | | (w-9)(w+5)=0 | | (4y+6)(7+y)=0 | | 3(x-4)=28-5x | | -5(u+9)(-u+1)=0 | | 3t+2(1-4t)= | | 3x-8=88-9x | | 4x+6=2x-7 | | -4(-7+7)= | | f(x)=4x^3+4x^2-2x | | -4(m+7)= | | 17x=-3 | | 2y^2-y+21=0 |