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Simplifying 3a2b + 3a3b + -9a2b2 = 0 Reorder the terms: 3a2b + -9a2b2 + 3a3b = 0 Solving 3a2b + -9a2b2 + 3a3b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a2b'. 3a2b(1 + -3b + a) = 0 Ignore the factor 3.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 + -3b + a)' equal to zero and attempt to solve: Simplifying 1 + -3b + a = 0 Reorder the terms: 1 + a + -3b = 0 Solving 1 + a + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + a + -1 + -3b = 0 + -1 Reorder the terms: 1 + -1 + a + -3b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a + -3b = 0 + -1 a + -3b = 0 + -1 Combine like terms: 0 + -1 = -1 a + -3b = -1 Add '3b' to each side of the equation. a + -3b + 3b = -1 + 3b Combine like terms: -3b + 3b = 0 a + 0 = -1 + 3b a = -1 + 3b Simplifying a = -1 + 3bSolution
a = {-1 + 3b}
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