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Simplifying b2 + 6b + 9 = 9 Reorder the terms: 9 + 6b + b2 = 9 Add '-9' to each side of the equation. 9 + 6b + -9 + b2 = 9 + -9 Reorder the terms: 9 + -9 + 6b + b2 = 9 + -9 Combine like terms: 9 + -9 = 0 0 + 6b + b2 = 9 + -9 6b + b2 = 9 + -9 Combine like terms: 9 + -9 = 0 6b + b2 = 0 Solving 6b + b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(6 + 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 '(6 + b)' equal to zero and attempt to solve: Simplifying 6 + b = 0 Solving 6 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + b = 0 + -6 b = 0 + -6 Combine like terms: 0 + -6 = -6 b = -6 Simplifying b = -6Solution
b = {0, -6}
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