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Simplifying b2 + -10b + 25b = 0 Reorder the terms: -10b + 25b + b2 = 0 Combine like terms: -10b + 25b = 15b 15b + b2 = 0 Solving 15b + b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(15 + 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 '(15 + b)' equal to zero and attempt to solve: Simplifying 15 + b = 0 Solving 15 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + b = 0 + -15 Combine like terms: 15 + -15 = 0 0 + b = 0 + -15 b = 0 + -15 Combine like terms: 0 + -15 = -15 b = -15 Simplifying b = -15Solution
b = {0, -15}
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