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Simplifying 27b3 = 48b Solving 27b3 = 48b Solving for variable 'b'. Reorder the terms: -48b + 27b3 = 48b + -48b Combine like terms: 48b + -48b = 0 -48b + 27b3 = 0 Factor out the Greatest Common Factor (GCF), '3b'. 3b(-16 + 9b2) = 0 Factor a difference between two squares. 3b((4 + 3b)(-4 + 3b)) = 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 '(4 + 3b)' equal to zero and attempt to solve: Simplifying 4 + 3b = 0 Solving 4 + 3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3b = 0 + -4 3b = 0 + -4 Combine like terms: 0 + -4 = -4 3b = -4 Divide each side by '3'. b = -1.333333333 Simplifying b = -1.333333333Subproblem 3
Set the factor '(-4 + 3b)' equal to zero and attempt to solve: Simplifying -4 + 3b = 0 Solving -4 + 3b = 0 Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3b = 0 + 4 3b = 0 + 4 Combine like terms: 0 + 4 = 4 3b = 4 Divide each side by '3'. b = 1.333333333 Simplifying b = 1.333333333Solution
b = {0, -1.333333333, 1.333333333}
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