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