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Simplifying 5b(b + 3) + -2b(2b + 5) = 0 Reorder the terms: 5b(3 + b) + -2b(2b + 5) = 0 (3 * 5b + b * 5b) + -2b(2b + 5) = 0 (15b + 5b2) + -2b(2b + 5) = 0 Reorder the terms: 15b + 5b2 + -2b(5 + 2b) = 0 15b + 5b2 + (5 * -2b + 2b * -2b) = 0 15b + 5b2 + (-10b + -4b2) = 0 Reorder the terms: 15b + -10b + 5b2 + -4b2 = 0 Combine like terms: 15b + -10b = 5b 5b + 5b2 + -4b2 = 0 Combine like terms: 5b2 + -4b2 = 1b2 5b + 1b2 = 0 Solving 5b + 1b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(5 + b) = 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 '(5 + b)' equal to zero and attempt to solve: Simplifying 5 + b = 0 Solving 5 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + b = 0 + -5 b = 0 + -5 Combine like terms: 0 + -5 = -5 b = -5 Simplifying b = -5Solution
b = {0, -5}
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