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Simplifying (2A + 5)(5A + 8) = 0 Reorder the terms: (5 + 2A)(5A + 8) = 0 Reorder the terms: (5 + 2A)(8 + 5A) = 0 Multiply (5 + 2A) * (8 + 5A) (5(8 + 5A) + 2A * (8 + 5A)) = 0 ((8 * 5 + 5A * 5) + 2A * (8 + 5A)) = 0 ((40 + 25A) + 2A * (8 + 5A)) = 0 (40 + 25A + (8 * 2A + 5A * 2A)) = 0 (40 + 25A + (16A + 10A2)) = 0 Combine like terms: 25A + 16A = 41A (40 + 41A + 10A2) = 0 Solving 40 + 41A + 10A2 = 0 Solving for variable 'A'. Factor a trinomial. (5 + 2A)(8 + 5A) = 0Subproblem 1
Set the factor '(5 + 2A)' equal to zero and attempt to solve: Simplifying 5 + 2A = 0 Solving 5 + 2A = 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 + 2A = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2A = 0 + -5 2A = 0 + -5 Combine like terms: 0 + -5 = -5 2A = -5 Divide each side by '2'. A = -2.5 Simplifying A = -2.5Subproblem 2
Set the factor '(8 + 5A)' equal to zero and attempt to solve: Simplifying 8 + 5A = 0 Solving 8 + 5A = 0 Move all terms containing A to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5A = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5A = 0 + -8 5A = 0 + -8 Combine like terms: 0 + -8 = -8 5A = -8 Divide each side by '5'. A = -1.6 Simplifying A = -1.6Solution
A = {-2.5, -1.6}
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