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Simplifying (5b2 + 2b + 6)(6b + 3) = 0 Reorder the terms: (6 + 2b + 5b2)(6b + 3) = 0 Reorder the terms: (6 + 2b + 5b2)(3 + 6b) = 0 Multiply (6 + 2b + 5b2) * (3 + 6b) (6(3 + 6b) + 2b * (3 + 6b) + 5b2 * (3 + 6b)) = 0 ((3 * 6 + 6b * 6) + 2b * (3 + 6b) + 5b2 * (3 + 6b)) = 0 ((18 + 36b) + 2b * (3 + 6b) + 5b2 * (3 + 6b)) = 0 (18 + 36b + (3 * 2b + 6b * 2b) + 5b2 * (3 + 6b)) = 0 (18 + 36b + (6b + 12b2) + 5b2 * (3 + 6b)) = 0 (18 + 36b + 6b + 12b2 + (3 * 5b2 + 6b * 5b2)) = 0 (18 + 36b + 6b + 12b2 + (15b2 + 30b3)) = 0 Combine like terms: 36b + 6b = 42b (18 + 42b + 12b2 + 15b2 + 30b3) = 0 Combine like terms: 12b2 + 15b2 = 27b2 (18 + 42b + 27b2 + 30b3) = 0 Solving 18 + 42b + 27b2 + 30b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '3'. 3(6 + 14b + 9b2 + 10b3) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + 14b + 9b2 + 10b3)' equal to zero and attempt to solve: Simplifying 6 + 14b + 9b2 + 10b3 = 0 Solving 6 + 14b + 9b2 + 10b3 = 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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