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Simplifying b^{3}+ 49b = 0 Reorder the terms: 49b + b^{3}= 0 Solving 49b + b^{3}= 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(49 + b^{2}) = 0## 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 = 0## Subproblem 2

Set the factor '(49 + b^{2})' equal to zero and attempt to solve: Simplifying 49 + b^{2}= 0 Solving 49 + b^{2}= 0 Move all terms containing b to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + b^{2}= 0 + -49 Combine like terms: 49 + -49 = 0 0 + b^{2}= 0 + -49 b^{2}= 0 + -49 Combine like terms: 0 + -49 = -49 b^{2}= -49 Simplifying b^{2}= -49 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.## Solution

b = {0}

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