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Simplifying 8b3 + 60b2 + 108b = 0 Reorder the terms: 108b + 60b2 + 8b3 = 0 Solving 108b + 60b2 + 8b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '4b'. 4b(27 + 15b + 2b2) = 0 Factor a trinomial. 4b((9 + 2b)(3 + b)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(9 + 2b)' equal to zero and attempt to solve: Simplifying 9 + 2b = 0 Solving 9 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2b = 0 + -9 2b = 0 + -9 Combine like terms: 0 + -9 = -9 2b = -9 Divide each side by '2'. b = -4.5 Simplifying b = -4.5Subproblem 3
Set the factor '(3 + b)' equal to zero and attempt to solve: Simplifying 3 + b = 0 Solving 3 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + b = 0 + -3 b = 0 + -3 Combine like terms: 0 + -3 = -3 b = -3 Simplifying b = -3Solution
b = {0, -4.5, -3}
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