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Simplifying 20b3 + 15b2 = 0 Reorder the terms: 15b2 + 20b3 = 0 Solving 15b2 + 20b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5b2'. 5b2(3 + 4b) = 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 '(3 + 4b)' equal to zero and attempt to solve: Simplifying 3 + 4b = 0 Solving 3 + 4b = 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 + 4b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4b = 0 + -3 4b = 0 + -3 Combine like terms: 0 + -3 = -3 4b = -3 Divide each side by '4'. b = -0.75 Simplifying b = -0.75Solution
b = {0, -0.75}
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