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Simplifying 3b + 9b + 2b2 + b + 5b2 = 0 Reorder the terms: 3b + 9b + b + 2b2 + 5b2 = 0 Combine like terms: 3b + 9b = 12b 12b + b + 2b2 + 5b2 = 0 Combine like terms: 12b + b = 13b 13b + 2b2 + 5b2 = 0 Combine like terms: 2b2 + 5b2 = 7b2 13b + 7b2 = 0 Solving 13b + 7b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(13 + 7b) = 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 '(13 + 7b)' equal to zero and attempt to solve: Simplifying 13 + 7b = 0 Solving 13 + 7b = 0 Move all terms containing b to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 7b = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 7b = 0 + -13 7b = 0 + -13 Combine like terms: 0 + -13 = -13 7b = -13 Divide each side by '7'. b = -1.857142857 Simplifying b = -1.857142857Solution
b = {0, -1.857142857}
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