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Simplifying 18b3 = 27b2 Solving 18b3 = 27b2 Solving for variable 'b'. Reorder the terms: -27b2 + 18b3 = 27b2 + -27b2 Combine like terms: 27b2 + -27b2 = 0 -27b2 + 18b3 = 0 Factor out the Greatest Common Factor (GCF), '9b2'. 9b2(-3 + 2b) = 0 Ignore the factor 9.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 + 2b)' equal to zero and attempt to solve: Simplifying -3 + 2b = 0 Solving -3 + 2b = 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 + 2b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2b = 0 + 3 2b = 0 + 3 Combine like terms: 0 + 3 = 3 2b = 3 Divide each side by '2'. b = 1.5 Simplifying b = 1.5Solution
b = {0, 1.5}
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