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Simplifying 27a3b2 = 9a2b Solving 27a3b2 = 9a2b Solving for variable 'a'. Reorder the terms: -9a2b + 27a3b2 = 9a2b + -9a2b Combine like terms: 9a2b + -9a2b = 0 -9a2b + 27a3b2 = 0 Factor out the Greatest Common Factor (GCF), '9a2b'. 9a2b(-1 + 3ab) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'a2b' equal to zero and attempt to solve: Simplifying a2b = 0 Solving a2b = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + 3ab)' equal to zero and attempt to solve: Simplifying -1 + 3ab = 0 Solving -1 + 3ab = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3ab = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3ab = 0 + 1 3ab = 0 + 1 Combine like terms: 0 + 1 = 1 3ab = 1 Divide each side by '3b'. a = 0.3333333333b-1 Simplifying a = 0.3333333333b-1Solution
a = {0.3333333333b-1}
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