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Simplifying (2a + 7)(2a + 7) = 0 Reorder the terms: (7 + 2a)(2a + 7) = 0 Reorder the terms: (7 + 2a)(7 + 2a) = 0 Multiply (7 + 2a) * (7 + 2a) (7(7 + 2a) + 2a * (7 + 2a)) = 0 ((7 * 7 + 2a * 7) + 2a * (7 + 2a)) = 0 ((49 + 14a) + 2a * (7 + 2a)) = 0 (49 + 14a + (7 * 2a + 2a * 2a)) = 0 (49 + 14a + (14a + 4a2)) = 0 Combine like terms: 14a + 14a = 28a (49 + 28a + 4a2) = 0 Solving 49 + 28a + 4a2 = 0 Solving for variable 'a'. Factor a trinomial. (7 + 2a)(7 + 2a) = 0Subproblem 1
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 = -3.5Subproblem 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 = {-3.5, -3.5}
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