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Simplifying (2a + 5)(2a + 5) = 0 Reorder the terms: (5 + 2a)(2a + 5) = 0 Reorder the terms: (5 + 2a)(5 + 2a) = 0 Multiply (5 + 2a) * (5 + 2a) (5(5 + 2a) + 2a * (5 + 2a)) = 0 ((5 * 5 + 2a * 5) + 2a * (5 + 2a)) = 0 ((25 + 10a) + 2a * (5 + 2a)) = 0 (25 + 10a + (5 * 2a + 2a * 2a)) = 0 (25 + 10a + (10a + 4a2)) = 0 Combine like terms: 10a + 10a = 20a (25 + 20a + 4a2) = 0 Solving 25 + 20a + 4a2 = 0 Solving for variable 'a'. Factor a trinomial. (5 + 2a)(5 + 2a) = 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 '(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 = {-2.5, -2.5}
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