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Simplifying (6ab + -1abc) + (ab + 6abc) = 0 Remove parenthesis around (6ab + -1abc) 6ab + -1abc + (ab + 6abc) = 0 Remove parenthesis around (ab + 6abc) 6ab + -1abc + ab + 6abc = 0 Reorder the terms: 6ab + ab + -1abc + 6abc = 0 Combine like terms: 6ab + ab = 7ab 7ab + -1abc + 6abc = 0 Combine like terms: -1abc + 6abc = 5abc 7ab + 5abc = 0 Solving 7ab + 5abc = 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), 'ab'. ab(7 + 5c) = 0Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(7 + 5c)' equal to zero and attempt to solve: Simplifying 7 + 5c = 0 Solving 7 + 5c = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5c = 0 + -7 5c = 0 + -7 Combine like terms: 0 + -7 = -7 5c = -7 Add '-5c' to each side of the equation. 5c + -5c = -7 + -5c Combine like terms: 5c + -5c = 0 0 = -7 + -5c Simplifying 0 = -7 + -5c 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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