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Simplifying b(b + 17) = 0 Reorder the terms: b(17 + b) = 0 (17 * b + b * b) = 0 (17b + b2) = 0 Solving 17b + b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(17 + 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 '(17 + b)' equal to zero and attempt to solve: Simplifying 17 + b = 0 Solving 17 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + b = 0 + -17 Combine like terms: 17 + -17 = 0 0 + b = 0 + -17 b = 0 + -17 Combine like terms: 0 + -17 = -17 b = -17 Simplifying b = -17Solution
b = {0, -17}
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