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Simplifying 15b2 + -24bf = 0 Reorder the terms: -24bf + 15b2 = 0 Solving -24bf + 15b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '3b'. 3b(-8f + 5b) = 0 Ignore the factor 3.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 '(-8f + 5b)' equal to zero and attempt to solve: Simplifying -8f + 5b = 0 Reorder the terms: 5b + -8f = 0 Solving 5b + -8f = 0 Move all terms containing b to the left, all other terms to the right. Add '8f' to each side of the equation. 5b + -8f + 8f = 0 + 8f Combine like terms: -8f + 8f = 0 5b + 0 = 0 + 8f 5b = 0 + 8f Remove the zero: 5b = 8f Divide each side by '5'. b = 1.6f Simplifying b = 1.6fSolution
b = {0, 1.6f}
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