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Simplifying 2b + 6a + 12abc = 0 Reorder the terms: 6a + 12abc + 2b = 0 Solving 6a + 12abc + 2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 6a + 12abc + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 6a + 12abc + 0 = 0 + -2b 6a + 12abc = 0 + -2b Remove the zero: 6a + 12abc = -2b Combine like terms: -2b + 2b = 0 6a + 12abc + 2b = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3a + 6abc + b) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3a + 6abc + b)' equal to zero and attempt to solve: Simplifying 3a + 6abc + b = 0 Solving 3a + 6abc + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 3a + 6abc + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 3a + 6abc + 0 = 0 + -1b 3a + 6abc = 0 + -1b Remove the zero: 3a + 6abc = -1b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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