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Simplifying 5b(8b + 2) + b(3b + 3) = 0 Reorder the terms: 5b(2 + 8b) + b(3b + 3) = 0 (2 * 5b + 8b * 5b) + b(3b + 3) = 0 (10b + 40b2) + b(3b + 3) = 0 Reorder the terms: 10b + 40b2 + b(3 + 3b) = 0 10b + 40b2 + (3 * b + 3b * b) = 0 10b + 40b2 + (3b + 3b2) = 0 Reorder the terms: 10b + 3b + 40b2 + 3b2 = 0 Combine like terms: 10b + 3b = 13b 13b + 40b2 + 3b2 = 0 Combine like terms: 40b2 + 3b2 = 43b2 13b + 43b2 = 0 Solving 13b + 43b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(13 + 43b) = 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 + 43b)' equal to zero and attempt to solve: Simplifying 13 + 43b = 0 Solving 13 + 43b = 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 + 43b = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 43b = 0 + -13 43b = 0 + -13 Combine like terms: 0 + -13 = -13 43b = -13 Divide each side by '43'. b = -0.3023255814 Simplifying b = -0.3023255814Solution
b = {0, -0.3023255814}
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