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Simplifying 15b3 + -6b2 = 0 Reorder the terms: -6b2 + 15b3 = 0 Solving -6b2 + 15b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '3b2'. 3b2(-2 + 5b) = 0 Ignore the factor 3.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 '(-2 + 5b)' equal to zero and attempt to solve: Simplifying -2 + 5b = 0 Solving -2 + 5b = 0 Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5b = 0 + 2 5b = 0 + 2 Combine like terms: 0 + 2 = 2 5b = 2 Divide each side by '5'. b = 0.4 Simplifying b = 0.4Solution
b = {0, 0.4}
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