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Simplifying 2b3 + 16b2 = -30b Reorder the terms: 16b2 + 2b3 = -30b Solving 16b2 + 2b3 = -30b Solving for variable 'b'. Reorder the terms: 30b + 16b2 + 2b3 = -30b + 30b Combine like terms: -30b + 30b = 0 30b + 16b2 + 2b3 = 0 Factor out the Greatest Common Factor (GCF), '2b'. 2b(15 + 8b + b2) = 0 Factor a trinomial. 2b((5 + b)(3 + b)) = 0 Ignore the factor 2.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 '(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 '(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, -5, -3}
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