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Simplifying (5x + 6)(6x2 + 6x + 3) = 0 Reorder the terms: (6 + 5x)(6x2 + 6x + 3) = 0 Reorder the terms: (6 + 5x)(3 + 6x + 6x2) = 0 Multiply (6 + 5x) * (3 + 6x + 6x2) (6(3 + 6x + 6x2) + 5x * (3 + 6x + 6x2)) = 0 ((3 * 6 + 6x * 6 + 6x2 * 6) + 5x * (3 + 6x + 6x2)) = 0 ((18 + 36x + 36x2) + 5x * (3 + 6x + 6x2)) = 0 (18 + 36x + 36x2 + (3 * 5x + 6x * 5x + 6x2 * 5x)) = 0 (18 + 36x + 36x2 + (15x + 30x2 + 30x3)) = 0 Reorder the terms: (18 + 36x + 15x + 36x2 + 30x2 + 30x3) = 0 Combine like terms: 36x + 15x = 51x (18 + 51x + 36x2 + 30x2 + 30x3) = 0 Combine like terms: 36x2 + 30x2 = 66x2 (18 + 51x + 66x2 + 30x3) = 0 Solving 18 + 51x + 66x2 + 30x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(6 + 17x + 22x2 + 10x3) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + 17x + 22x2 + 10x3)' equal to zero and attempt to solve: Simplifying 6 + 17x + 22x2 + 10x3 = 0 Solving 6 + 17x + 22x2 + 10x3 = 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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