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Simplifying -2AB + 5ACB + 8AB + -11BE + 14ACB = 0 Reorder the terms: -2AB + 8AB + 5ABC + 14ABC + -11BE = 0 Combine like terms: -2AB + 8AB = 6AB 6AB + 5ABC + 14ABC + -11BE = 0 Combine like terms: 5ABC + 14ABC = 19ABC 6AB + 19ABC + -11BE = 0 Solving 6AB + 19ABC + -11BE = 0 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '11BE' to each side of the equation. 6AB + 19ABC + -11BE + 11BE = 0 + 11BE Combine like terms: -11BE + 11BE = 0 6AB + 19ABC + 0 = 0 + 11BE 6AB + 19ABC = 0 + 11BE Remove the zero: 6AB + 19ABC = 11BE Combine like terms: 11BE + -11BE = 0 6AB + 19ABC + -11BE = 0 Factor out the Greatest Common Factor (GCF), 'B'. B(6A + 19AC + -11E) = 0Subproblem 1
Set the factor 'B' equal to zero and attempt to solve: Simplifying B = 0 Solving B = 0 Move all terms containing A to the left, all other terms to the right. Add '-1B' to each side of the equation. B + -1B = 0 + -1B Remove the zero: 0 = -1B Simplifying 0 = -1B 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 '(6A + 19AC + -11E)' equal to zero and attempt to solve: Simplifying 6A + 19AC + -11E = 0 Solving 6A + 19AC + -11E = 0 Move all terms containing A to the left, all other terms to the right. Add '11E' to each side of the equation. 6A + 19AC + -11E + 11E = 0 + 11E Combine like terms: -11E + 11E = 0 6A + 19AC + 0 = 0 + 11E 6A + 19AC = 0 + 11E Remove the zero: 6A + 19AC = 11E 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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