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Simplifying 3b(9b + -27) = 0 Reorder the terms: 3b(-27 + 9b) = 0 (-27 * 3b + 9b * 3b) = 0 (-81b + 27b2) = 0 Solving -81b + 27b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '27b'. 27b(-3 + b) = 0 Ignore the factor 27.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 '(-3 + b)' equal to zero and attempt to solve: Simplifying -3 + b = 0 Solving -3 + b = 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 + b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + b = 0 + 3 b = 0 + 3 Combine like terms: 0 + 3 = 3 b = 3 Simplifying b = 3Solution
b = {0, 3}
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