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Simplifying 7a + a + -2a + 3ab + -1ab + 2ab = 0 Combine like terms: 7a + a = 8a 8a + -2a + 3ab + -1ab + 2ab = 0 Combine like terms: 8a + -2a = 6a 6a + 3ab + -1ab + 2ab = 0 Combine like terms: 3ab + -1ab = 2ab 6a + 2ab + 2ab = 0 Combine like terms: 2ab + 2ab = 4ab 6a + 4ab = 0 Solving 6a + 4ab = 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), '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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