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Simplifying 7ab + -3a + 2ab = 0 Reorder the terms: -3a + 7ab + 2ab = 0 Combine like terms: 7ab + 2ab = 9ab -3a + 9ab = 0 Solving -3a + 9ab = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3a'. 3a(-1 + 3b) = 0 Ignore the factor 3.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 '(-1 + 3b)' equal to zero and attempt to solve: Simplifying -1 + 3b = 0 Solving -1 + 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 + 1 + 3b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3b = 0 + 1 3b = 0 + 1 Combine like terms: 0 + 1 = 1 3b = 1 Add '-3b' to each side of the equation. 3b + -3b = 1 + -3b Combine like terms: 3b + -3b = 0 0 = 1 + -3b Simplifying 0 = 1 + -3b 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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