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Simplifying 2abc + 6ac + -1bca + ac = 0 Reorder the terms: 2abc + -1abc + 6ac + ac = 0 Combine like terms: 2abc + -1abc = 1abc 1abc + 6ac + ac = 0 Combine like terms: 6ac + ac = 7ac 1abc + 7ac = 0 Solving 1abc + 7ac = 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), 'ac'. ac(b + 7) = 0Subproblem 1
Set the factor 'ac' equal to zero and attempt to solve: Simplifying ac = 0 Solving ac = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ac = 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 '(b + 7)' equal to zero and attempt to solve: Simplifying b + 7 = 0 Reorder the terms: 7 + b = 0 Solving 7 + b = 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 + b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + b = 0 + -7 b = 0 + -7 Combine like terms: 0 + -7 = -7 b = -7 Add '-1b' to each side of the equation. b + -1b = -7 + -1b Combine like terms: b + -1b = 0 0 = -7 + -1b Simplifying 0 = -7 + -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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