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Simplifying 2ac + -4ad + 6bc + -12bd = 0 Solving 2ac + -4ad + 6bc + -12bd = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6bc' to each side of the equation. 2ac + -4ad + 6bc + -6bc + -12bd = 0 + -6bc Combine like terms: 6bc + -6bc = 0 2ac + -4ad + 0 + -12bd = 0 + -6bc 2ac + -4ad + -12bd = 0 + -6bc Remove the zero: 2ac + -4ad + -12bd = -6bc Add '12bd' to each side of the equation. 2ac + -4ad + -12bd + 12bd = -6bc + 12bd Combine like terms: -12bd + 12bd = 0 2ac + -4ad + 0 = -6bc + 12bd 2ac + -4ad = -6bc + 12bd Reorder the terms: 2ac + -4ad + 6bc + -12bd = -6bc + 6bc + 12bd + -12bd Combine like terms: -6bc + 6bc = 0 2ac + -4ad + 6bc + -12bd = 0 + 12bd + -12bd 2ac + -4ad + 6bc + -12bd = 12bd + -12bd Combine like terms: 12bd + -12bd = 0 2ac + -4ad + 6bc + -12bd = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(ac + -2ad + 3bc + -6bd) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(ac + -2ad + 3bc + -6bd)' equal to zero and attempt to solve: Simplifying ac + -2ad + 3bc + -6bd = 0 Solving ac + -2ad + 3bc + -6bd = 0 Move all terms containing a to the left, all other terms to the right. Add '-3bc' to each side of the equation. ac + -2ad + 3bc + -3bc + -6bd = 0 + -3bc Combine like terms: 3bc + -3bc = 0 ac + -2ad + 0 + -6bd = 0 + -3bc ac + -2ad + -6bd = 0 + -3bc Remove the zero: ac + -2ad + -6bd = -3bc Add '6bd' to each side of the equation. ac + -2ad + -6bd + 6bd = -3bc + 6bd Combine like terms: -6bd + 6bd = 0 ac + -2ad + 0 = -3bc + 6bd ac + -2ad = -3bc + 6bd 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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