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Simplifying 7b3 + 39b2 + 20b = 0 Reorder the terms: 20b + 39b2 + 7b3 = 0 Solving 20b + 39b2 + 7b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(20 + 39b + 7b2) = 0 Factor a trinomial. b((5 + b)(4 + 7b)) = 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 + b)' equal to zero and attempt to solve: Simplifying 5 + b = 0 Solving 5 + b = 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 + b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + b = 0 + -5 b = 0 + -5 Combine like terms: 0 + -5 = -5 b = -5 Simplifying b = -5Subproblem 3
Set the factor '(4 + 7b)' equal to zero and attempt to solve: Simplifying 4 + 7b = 0 Solving 4 + 7b = 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 + 7b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7b = 0 + -4 7b = 0 + -4 Combine like terms: 0 + -4 = -4 7b = -4 Divide each side by '7'. b = -0.5714285714 Simplifying b = -0.5714285714Solution
b = {0, -5, -0.5714285714}
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