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Simplifying 5b(14b + 9) = 0 Reorder the terms: 5b(9 + 14b) = 0 (9 * 5b + 14b * 5b) = 0 (45b + 70b2) = 0 Solving 45b + 70b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5b'. 5b(9 + 14b) = 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 '(9 + 14b)' equal to zero and attempt to solve: Simplifying 9 + 14b = 0 Solving 9 + 14b = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 14b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 14b = 0 + -9 14b = 0 + -9 Combine like terms: 0 + -9 = -9 14b = -9 Divide each side by '14'. b = -0.6428571429 Simplifying b = -0.6428571429Solution
b = {0, -0.6428571429}
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