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Simplifying 2AB + 2BC = 2AC Solving 2AB + 2BC = 2AC Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-2AC' to each side of the equation. 2AB + -2AC + 2BC = 2AC + -2AC Combine like terms: 2AC + -2AC = 0 2AB + -2AC + 2BC = 0 Add '-2BC' to each side of the equation. 2AB + -2AC + 2BC + -2BC = 0 + -2BC Combine like terms: 2BC + -2BC = 0 2AB + -2AC + 0 = 0 + -2BC 2AB + -2AC = 0 + -2BC Remove the zero: 2AB + -2AC = -2BC Combine like terms: -2BC + 2BC = 0 2AB + -2AC + 2BC = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(AB + -1AC + BC) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(AB + -1AC + BC)' equal to zero and attempt to solve: Simplifying AB + -1AC + BC = 0 Solving AB + -1AC + BC = 0 Move all terms containing A to the left, all other terms to the right. Add '-1BC' to each side of the equation. AB + -1AC + BC + -1BC = 0 + -1BC Combine like terms: BC + -1BC = 0 AB + -1AC + 0 = 0 + -1BC AB + -1AC = 0 + -1BC Remove the zero: AB + -1AC = -1BC 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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