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Simplifying (6x + 3)(5x2 + 6x + 6) = 0 Reorder the terms: (3 + 6x)(5x2 + 6x + 6) = 0 Reorder the terms: (3 + 6x)(6 + 6x + 5x2) = 0 Multiply (3 + 6x) * (6 + 6x + 5x2) (3(6 + 6x + 5x2) + 6x * (6 + 6x + 5x2)) = 0 ((6 * 3 + 6x * 3 + 5x2 * 3) + 6x * (6 + 6x + 5x2)) = 0 ((18 + 18x + 15x2) + 6x * (6 + 6x + 5x2)) = 0 (18 + 18x + 15x2 + (6 * 6x + 6x * 6x + 5x2 * 6x)) = 0 (18 + 18x + 15x2 + (36x + 36x2 + 30x3)) = 0 Reorder the terms: (18 + 18x + 36x + 15x2 + 36x2 + 30x3) = 0 Combine like terms: 18x + 36x = 54x (18 + 54x + 15x2 + 36x2 + 30x3) = 0 Combine like terms: 15x2 + 36x2 = 51x2 (18 + 54x + 51x2 + 30x3) = 0 Solving 18 + 54x + 51x2 + 30x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(6 + 18x + 17x2 + 10x3) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + 18x + 17x2 + 10x3)' equal to zero and attempt to solve: Simplifying 6 + 18x + 17x2 + 10x3 = 0 Solving 6 + 18x + 17x2 + 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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