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Simplifying b^{2}+ 8b = 0 Reorder the terms: 8b + b^{2}= 0 Solving 8b + b^{2}= 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(8 + b) = 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 '(8 + b)' equal to zero and attempt to solve: Simplifying 8 + b = 0 Solving 8 + b = 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 + b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + b = 0 + -8 b = 0 + -8 Combine like terms: 0 + -8 = -8 b = -8 Simplifying b = -8## Solution

b = {0, -8}

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