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Simplifying (5 + -1A)(6 + -1A) = 0 Multiply (5 + -1A) * (6 + -1A) (5(6 + -1A) + -1A * (6 + -1A)) = 0 ((6 * 5 + -1A * 5) + -1A * (6 + -1A)) = 0 ((30 + -5A) + -1A * (6 + -1A)) = 0 (30 + -5A + (6 * -1A + -1A * -1A)) = 0 (30 + -5A + (-6A + 1A2)) = 0 Combine like terms: -5A + -6A = -11A (30 + -11A + 1A2) = 0 Solving 30 + -11A + 1A2 = 0 Solving for variable 'A'. Factor a trinomial. (5 + -1A)(6 + -1A) = 0Subproblem 1
Set the factor '(5 + -1A)' equal to zero and attempt to solve: Simplifying 5 + -1A = 0 Solving 5 + -1A = 0 Move all terms containing A to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1A = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1A = 0 + -5 -1A = 0 + -5 Combine like terms: 0 + -5 = -5 -1A = -5 Divide each side by '-1'. A = 5 Simplifying A = 5Subproblem 2
Set the factor '(6 + -1A)' equal to zero and attempt to solve: Simplifying 6 + -1A = 0 Solving 6 + -1A = 0 Move all terms containing A to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1A = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1A = 0 + -6 -1A = 0 + -6 Combine like terms: 0 + -6 = -6 -1A = -6 Divide each side by '-1'. A = 6 Simplifying A = 6Solution
A = {5, 6}
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