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Simplifying 3a + 4ab = 9a Solving 3a + 4ab = 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 3a + -9a + 4ab = 9a + -9a Combine like terms: 3a + -9a = -6a -6a + 4ab = 9a + -9a Combine like terms: 9a + -9a = 0 -6a + 4ab = 0 Factor out the Greatest Common Factor (GCF), '2a'. 2a(-3 + 2b) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(-3 + 2b)' equal to zero and attempt to solve: Simplifying -3 + 2b = 0 Solving -3 + 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 + 3 + 2b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2b = 0 + 3 2b = 0 + 3 Combine like terms: 0 + 3 = 3 2b = 3 Add '-2b' to each side of the equation. 2b + -2b = 3 + -2b Combine like terms: 2b + -2b = 0 0 = 3 + -2b Simplifying 0 = 3 + -2b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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