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Simplifying b2 + 6b + b = 0 Reorder the terms: 6b + b + b2 = 0 Combine like terms: 6b + b = 7b 7b + b2 = 0 Solving 7b + b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(7 + b) = 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 '(7 + b)' equal to zero and attempt to solve: Simplifying 7 + b = 0 Solving 7 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + b = 0 + -7 b = 0 + -7 Combine like terms: 0 + -7 = -7 b = -7 Simplifying b = -7Solution
b = {0, -7}
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