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Simplifying (3x + 12)(3x + 3)(3x + 2)(3x + 8) = 36x2 Reorder the terms: (12 + 3x)(3x + 3)(3x + 2)(3x + 8) = 36x2 Reorder the terms: (12 + 3x)(3 + 3x)(3x + 2)(3x + 8) = 36x2 Reorder the terms: (12 + 3x)(3 + 3x)(2 + 3x)(3x + 8) = 36x2 Reorder the terms: (12 + 3x)(3 + 3x)(2 + 3x)(8 + 3x) = 36x2 Multiply (12 + 3x) * (3 + 3x) (12(3 + 3x) + 3x * (3 + 3x))(2 + 3x)(8 + 3x) = 36x2 ((3 * 12 + 3x * 12) + 3x * (3 + 3x))(2 + 3x)(8 + 3x) = 36x2 ((36 + 36x) + 3x * (3 + 3x))(2 + 3x)(8 + 3x) = 36x2 (36 + 36x + (3 * 3x + 3x * 3x))(2 + 3x)(8 + 3x) = 36x2 (36 + 36x + (9x + 9x2))(2 + 3x)(8 + 3x) = 36x2 Combine like terms: 36x + 9x = 45x (36 + 45x + 9x2)(2 + 3x)(8 + 3x) = 36x2 Multiply (36 + 45x + 9x2) * (2 + 3x) (36(2 + 3x) + 45x * (2 + 3x) + 9x2 * (2 + 3x))(8 + 3x) = 36x2 ((2 * 36 + 3x * 36) + 45x * (2 + 3x) + 9x2 * (2 + 3x))(8 + 3x) = 36x2 ((72 + 108x) + 45x * (2 + 3x) + 9x2 * (2 + 3x))(8 + 3x) = 36x2 (72 + 108x + (2 * 45x + 3x * 45x) + 9x2 * (2 + 3x))(8 + 3x) = 36x2 (72 + 108x + (90x + 135x2) + 9x2 * (2 + 3x))(8 + 3x) = 36x2 (72 + 108x + 90x + 135x2 + (2 * 9x2 + 3x * 9x2))(8 + 3x) = 36x2 (72 + 108x + 90x + 135x2 + (18x2 + 27x3))(8 + 3x) = 36x2 Combine like terms: 108x + 90x = 198x (72 + 198x + 135x2 + 18x2 + 27x3)(8 + 3x) = 36x2 Combine like terms: 135x2 + 18x2 = 153x2 (72 + 198x + 153x2 + 27x3)(8 + 3x) = 36x2 Multiply (72 + 198x + 153x2 + 27x3) * (8 + 3x) (72(8 + 3x) + 198x * (8 + 3x) + 153x2 * (8 + 3x) + 27x3 * (8 + 3x)) = 36x2 ((8 * 72 + 3x * 72) + 198x * (8 + 3x) + 153x2 * (8 + 3x) + 27x3 * (8 + 3x)) = 36x2 ((576 + 216x) + 198x * (8 + 3x) + 153x2 * (8 + 3x) + 27x3 * (8 + 3x)) = 36x2 (576 + 216x + (8 * 198x + 3x * 198x) + 153x2 * (8 + 3x) + 27x3 * (8 + 3x)) = 36x2 (576 + 216x + (1584x + 594x2) + 153x2 * (8 + 3x) + 27x3 * (8 + 3x)) = 36x2 (576 + 216x + 1584x + 594x2 + (8 * 153x2 + 3x * 153x2) + 27x3 * (8 + 3x)) = 36x2 (576 + 216x + 1584x + 594x2 + (1224x2 + 459x3) + 27x3 * (8 + 3x)) = 36x2 (576 + 216x + 1584x + 594x2 + 1224x2 + 459x3 + (8 * 27x3 + 3x * 27x3)) = 36x2 (576 + 216x + 1584x + 594x2 + 1224x2 + 459x3 + (216x3 + 81x4)) = 36x2 Combine like terms: 216x + 1584x = 1800x (576 + 1800x + 594x2 + 1224x2 + 459x3 + 216x3 + 81x4) = 36x2 Combine like terms: 594x2 + 1224x2 = 1818x2 (576 + 1800x + 1818x2 + 459x3 + 216x3 + 81x4) = 36x2 Combine like terms: 459x3 + 216x3 = 675x3 (576 + 1800x + 1818x2 + 675x3 + 81x4) = 36x2 Solving 576 + 1800x + 1818x2 + 675x3 + 81x4 = 36x2 Solving for variable 'x'. Reorder the terms: 576 + 1800x + 1818x2 + -36x2 + 675x3 + 81x4 = 36x2 + -36x2 Combine like terms: 1818x2 + -36x2 = 1782x2 576 + 1800x + 1782x2 + 675x3 + 81x4 = 36x2 + -36x2 Combine like terms: 36x2 + -36x2 = 0 576 + 1800x + 1782x2 + 675x3 + 81x4 = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(64 + 200x + 198x2 + 75x3 + 9x4) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(64 + 200x + 198x2 + 75x3 + 9x4)' equal to zero and attempt to solve: Simplifying 64 + 200x + 198x2 + 75x3 + 9x4 = 0 Solving 64 + 200x + 198x2 + 75x3 + 9x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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