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Simplifying 3a + -2b + -1ab + -1(a + -1b + ab) + 3ab + b + -1a = 0 Reorder the terms: 3a + -2b + -1ab + -1(a + ab + -1b) + 3ab + b + -1a = 0 3a + -2b + -1ab + (a * -1 + ab * -1 + -1b * -1) + 3ab + b + -1a = 0 3a + -2b + -1ab + (-1a + -1ab + 1b) + 3ab + b + -1a = 0 Reorder the terms: 3a + -1a + -1a + -1ab + -1ab + 3ab + -2b + 1b + b = 0 Combine like terms: 3a + -1a = 2a 2a + -1a + -1ab + -1ab + 3ab + -2b + 1b + b = 0 Combine like terms: 2a + -1a = 1a 1a + -1ab + -1ab + 3ab + -2b + 1b + b = 0 Combine like terms: -1ab + -1ab = -2ab 1a + -2ab + 3ab + -2b + 1b + b = 0 Combine like terms: -2ab + 3ab = 1ab 1a + 1ab + -2b + 1b + b = 0 Combine like terms: -2b + 1b = -1b 1a + 1ab + -1b + b = 0 Combine like terms: -1b + b = 0 1a + 1ab + 0 = 0 1a + 1ab = 0 Solving 1a + 1ab = 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), 'a'. a(1 + b) = 0Subproblem 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 + b)' equal to zero and attempt to solve: Simplifying 1 + b = 0 Solving 1 + b = 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 + b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + b = 0 + -1 b = 0 + -1 Combine like terms: 0 + -1 = -1 b = -1 Add '-1b' to each side of the equation. b + -1b = -1 + -1b Combine like terms: b + -1b = 0 0 = -1 + -1b Simplifying 0 = -1 + -1b 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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