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