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Simplifying 30b3 + -54b2 = 0 Reorder the terms: -54b2 + 30b3 = 0 Solving -54b2 + 30b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '6b2'. 6b2(-9 + 5b) = 0 Ignore the factor 6.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 '(-9 + 5b)' equal to zero and attempt to solve: Simplifying -9 + 5b = 0 Solving -9 + 5b = 0 Move all terms containing b to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5b = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5b = 0 + 9 5b = 0 + 9 Combine like terms: 0 + 9 = 9 5b = 9 Divide each side by '5'. b = 1.8 Simplifying b = 1.8Solution
b = {0, 1.8}
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