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Simplifying 5b(13b + 8) = 0 Reorder the terms: 5b(8 + 13b) = 0 (8 * 5b + 13b * 5b) = 0 (40b + 65b2) = 0 Solving 40b + 65b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5b'. 5b(8 + 13b) = 0 Ignore the factor 5.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 '(8 + 13b)' equal to zero and attempt to solve: Simplifying 8 + 13b = 0 Solving 8 + 13b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 13b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 13b = 0 + -8 13b = 0 + -8 Combine like terms: 0 + -8 = -8 13b = -8 Divide each side by '13'. b = -0.6153846154 Simplifying b = -0.6153846154Solution
b = {0, -0.6153846154}
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