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Simplifying (A + 5)(2A + 7) = 0 Reorder the terms: (5 + A)(2A + 7) = 0 Reorder the terms: (5 + A)(7 + 2A) = 0 Multiply (5 + A) * (7 + 2A) (5(7 + 2A) + A(7 + 2A)) = 0 ((7 * 5 + 2A * 5) + A(7 + 2A)) = 0 ((35 + 10A) + A(7 + 2A)) = 0 (35 + 10A + (7 * A + 2A * A)) = 0 (35 + 10A + (7A + 2A2)) = 0 Combine like terms: 10A + 7A = 17A (35 + 17A + 2A2) = 0 Solving 35 + 17A + 2A2 = 0 Solving for variable 'A'. Factor a trinomial. (5 + A)(7 + 2A) = 0Subproblem 1
Set the factor '(5 + A)' equal to zero and attempt to solve: Simplifying 5 + A = 0 Solving 5 + A = 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 + A = 0 + -5 Combine like terms: 5 + -5 = 0 0 + A = 0 + -5 A = 0 + -5 Combine like terms: 0 + -5 = -5 A = -5 Simplifying A = -5Subproblem 2
Set the factor '(7 + 2A)' equal to zero and attempt to solve: Simplifying 7 + 2A = 0 Solving 7 + 2A = 0 Move all terms containing A to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2A = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2A = 0 + -7 2A = 0 + -7 Combine like terms: 0 + -7 = -7 2A = -7 Divide each side by '2'. A = -3.5 Simplifying A = -3.5Solution
A = {-5, -3.5}
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