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Simplifying 3A = B2(2AB) Remove parenthesis around (2AB) 3A = B2 * 2AB Reorder the terms for easier multiplication: 3A = 2B2 * AB Multiply B2 * AB 3A = 2AB3 Solving 3A = 2AB3 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-2AB3' to each side of the equation. 3A + -2AB3 = 2AB3 + -2AB3 Combine like terms: 2AB3 + -2AB3 = 0 3A + -2AB3 = 0 Factor out the Greatest Common Factor (GCF), 'A'. A(3 + -2B3) = 0Subproblem 1
Set the factor 'A' equal to zero and attempt to solve: Simplifying A = 0 Solving A = 0 Move all terms containing A to the left, all other terms to the right. Simplifying A = 0Subproblem 2
Set the factor '(3 + -2B3)' equal to zero and attempt to solve: Simplifying 3 + -2B3 = 0 Solving 3 + -2B3 = 0 Move all terms containing A to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2B3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2B3 = 0 + -3 -2B3 = 0 + -3 Combine like terms: 0 + -3 = -3 -2B3 = -3 Add '2B3' to each side of the equation. -2B3 + 2B3 = -3 + 2B3 Combine like terms: -2B3 + 2B3 = 0 0 = -3 + 2B3 Simplifying 0 = -3 + 2B3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
A = {0}
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