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Simplifying (4b + 12) * 5b = 0 Reorder the terms: (12 + 4b) * 5b = 0 Reorder the terms for easier multiplication: 5b(12 + 4b) = 0 (12 * 5b + 4b * 5b) = 0 (60b + 20b2) = 0 Solving 60b + 20b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '20b'. 20b(3 + b) = 0 Ignore the factor 20.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 '(3 + b)' equal to zero and attempt to solve: Simplifying 3 + b = 0 Solving 3 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + b = 0 + -3 b = 0 + -3 Combine like terms: 0 + -3 = -3 b = -3 Simplifying b = -3Solution
b = {0, -3}
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