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Simplifying 15b3 + 20b2 = 0 Reorder the terms: 20b2 + 15b3 = 0 Solving 20b2 + 15b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5b2'. 5b2(4 + 3b) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'b2' equal to zero and attempt to solve: Simplifying b2 = 0 Solving b2 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b2 = 0 Take the square root of each side: b = {0}Subproblem 2
Set the factor '(4 + 3b)' equal to zero and attempt to solve: Simplifying 4 + 3b = 0 Solving 4 + 3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3b = 0 + -4 3b = 0 + -4 Combine like terms: 0 + -4 = -4 3b = -4 Divide each side by '3'. b = -1.333333333 Simplifying b = -1.333333333Solution
b = {0, -1.333333333}
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