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Simplifying 2b(b + 6 + -5b + 9) = 0 Reorder the terms: 2b(6 + 9 + b + -5b) = 0 Combine like terms: 6 + 9 = 15 2b(15 + b + -5b) = 0 Combine like terms: b + -5b = -4b 2b(15 + -4b) = 0 (15 * 2b + -4b * 2b) = 0 (30b + -8b2) = 0 Solving 30b + -8b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b'. 2b(15 + -4b) = 0 Ignore the factor 2.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 '(15 + -4b)' equal to zero and attempt to solve: Simplifying 15 + -4b = 0 Solving 15 + -4b = 0 Move all terms containing b to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -4b = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4b = 0 + -15 -4b = 0 + -15 Combine like terms: 0 + -15 = -15 -4b = -15 Divide each side by '-4'. b = 3.75 Simplifying b = 3.75Solution
b = {0, 3.75}
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