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Simplifying 13b2 + 5b + -1b2 = 0 Reorder the terms: 5b + 13b2 + -1b2 = 0 Combine like terms: 13b2 + -1b2 = 12b2 5b + 12b2 = 0 Solving 5b + 12b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(5 + 12b) = 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 '(5 + 12b)' equal to zero and attempt to solve: Simplifying 5 + 12b = 0 Solving 5 + 12b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 12b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 12b = 0 + -5 12b = 0 + -5 Combine like terms: 0 + -5 = -5 12b = -5 Divide each side by '12'. b = -0.4166666667 Simplifying b = -0.4166666667Solution
b = {0, -0.4166666667}
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