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Simplifying 3a2b + -6ab2 + 9ab = 0 Reorder the terms: 9ab + -6ab2 + 3a2b = 0 Solving 9ab + -6ab2 + 3a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3ab'. 3ab(3 + -2b + a) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 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 '(3 + -2b + a)' equal to zero and attempt to solve: Simplifying 3 + -2b + a = 0 Reorder the terms: 3 + a + -2b = 0 Solving 3 + a + -2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + a + -3 + -2b = 0 + -3 Reorder the terms: 3 + -3 + a + -2b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a + -2b = 0 + -3 a + -2b = 0 + -3 Combine like terms: 0 + -3 = -3 a + -2b = -3 Add '2b' to each side of the equation. a + -2b + 2b = -3 + 2b Combine like terms: -2b + 2b = 0 a + 0 = -3 + 2b a = -3 + 2b Simplifying a = -3 + 2bSolution
a = {-3 + 2b}
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