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Simplifying (2a + 5)(a + 9) = 0 Reorder the terms: (5 + 2a)(a + 9) = 0 Reorder the terms: (5 + 2a)(9 + a) = 0 Multiply (5 + 2a) * (9 + a) (5(9 + a) + 2a * (9 + a)) = 0 ((9 * 5 + a * 5) + 2a * (9 + a)) = 0 ((45 + 5a) + 2a * (9 + a)) = 0 (45 + 5a + (9 * 2a + a * 2a)) = 0 (45 + 5a + (18a + 2a2)) = 0 Combine like terms: 5a + 18a = 23a (45 + 23a + 2a2) = 0 Solving 45 + 23a + 2a2 = 0 Solving for variable 'a'. Factor a trinomial. (9 + a)(5 + 2a) = 0Subproblem 1
Set the factor '(9 + a)' equal to zero and attempt to solve: Simplifying 9 + a = 0 Solving 9 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + a = 0 + -9 a = 0 + -9 Combine like terms: 0 + -9 = -9 a = -9 Simplifying a = -9Subproblem 2
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 = -2.5Solution
a = {-9, -2.5}
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