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Simplifying 3b(8b + 5) = 0 Reorder the terms: 3b(5 + 8b) = 0 (5 * 3b + 8b * 3b) = 0 (15b + 24b2) = 0 Solving 15b + 24b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '3b'. 3b(5 + 8b) = 0 Ignore the factor 3.Subproblem 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 + 8b)' equal to zero and attempt to solve: Simplifying 5 + 8b = 0 Solving 5 + 8b = 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 + 8b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8b = 0 + -5 8b = 0 + -5 Combine like terms: 0 + -5 = -5 8b = -5 Divide each side by '8'. b = -0.625 Simplifying b = -0.625Solution
b = {0, -0.625}
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