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Simplifying 9b(2b + 5) + 4b(6b + 6) = 0 Reorder the terms: 9b(5 + 2b) + 4b(6b + 6) = 0 (5 * 9b + 2b * 9b) + 4b(6b + 6) = 0 (45b + 18b2) + 4b(6b + 6) = 0 Reorder the terms: 45b + 18b2 + 4b(6 + 6b) = 0 45b + 18b2 + (6 * 4b + 6b * 4b) = 0 45b + 18b2 + (24b + 24b2) = 0 Reorder the terms: 45b + 24b + 18b2 + 24b2 = 0 Combine like terms: 45b + 24b = 69b 69b + 18b2 + 24b2 = 0 Combine like terms: 18b2 + 24b2 = 42b2 69b + 42b2 = 0 Solving 69b + 42b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '3b'. 3b(23 + 14b) = 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 '(23 + 14b)' equal to zero and attempt to solve: Simplifying 23 + 14b = 0 Solving 23 + 14b = 0 Move all terms containing b to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 14b = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 14b = 0 + -23 14b = 0 + -23 Combine like terms: 0 + -23 = -23 14b = -23 Divide each side by '14'. b = -1.642857143 Simplifying b = -1.642857143Solution
b = {0, -1.642857143}
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