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Simplifying 9b2 + 12 = -21b Reorder the terms: 12 + 9b2 = -21b Solving 12 + 9b2 = -21b Solving for variable 'b'. Reorder the terms: 12 + 21b + 9b2 = -21b + 21b Combine like terms: -21b + 21b = 0 12 + 21b + 9b2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(4 + 7b + 3b2) = 0 Factor a trinomial. 3((4 + 3b)(1 + b)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(4 + 3b)' equal to zero and attempt to solve: Simplifying 4 + 3b = 0 Solving 4 + 3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3b = 0 + -4 3b = 0 + -4 Combine like terms: 0 + -4 = -4 3b = -4 Divide each side by '3'. b = -1.333333333 Simplifying b = -1.333333333Subproblem 2
Set the factor '(1 + b)' equal to zero and attempt to solve: Simplifying 1 + b = 0 Solving 1 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + b = 0 + -1 b = 0 + -1 Combine like terms: 0 + -1 = -1 b = -1 Simplifying b = -1Solution
b = {-1.333333333, -1}
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