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Simplifying 4b3 + 9b2 + 5b = 0 Reorder the terms: 5b + 9b2 + 4b3 = 0 Solving 5b + 9b2 + 4b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(5 + 9b + 4b2) = 0 Factor a trinomial. b((5 + 4b)(1 + b)) = 0Subproblem 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 '(5 + 4b)' equal to zero and attempt to solve: Simplifying 5 + 4b = 0 Solving 5 + 4b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4b = 0 + -5 4b = 0 + -5 Combine like terms: 0 + -5 = -5 4b = -5 Divide each side by '4'. b = -1.25 Simplifying b = -1.25Subproblem 3
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 = {0, -1.25, -1}
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