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Simplifying 3b3 + 20b2 + 32b = 0 Reorder the terms: 32b + 20b2 + 3b3 = 0 Solving 32b + 20b2 + 3b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(32 + 20b + 3b2) = 0 Factor a trinomial. b((4 + b)(8 + 3b)) = 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 '(4 + b)' equal to zero and attempt to solve: Simplifying 4 + b = 0 Solving 4 + b = 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 + b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + b = 0 + -4 b = 0 + -4 Combine like terms: 0 + -4 = -4 b = -4 Simplifying b = -4Subproblem 3
Set the factor '(8 + 3b)' equal to zero and attempt to solve: Simplifying 8 + 3b = 0 Solving 8 + 3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3b = 0 + -8 3b = 0 + -8 Combine like terms: 0 + -8 = -8 3b = -8 Divide each side by '3'. b = -2.666666667 Simplifying b = -2.666666667Solution
b = {0, -4, -2.666666667}
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