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Simplifying (a + 7)(a + 9) = 0 Reorder the terms: (7 + a)(a + 9) = 0 Reorder the terms: (7 + a)(9 + a) = 0 Multiply (7 + a) * (9 + a) (7(9 + a) + a(9 + a)) = 0 ((9 * 7 + a * 7) + a(9 + a)) = 0 ((63 + 7a) + a(9 + a)) = 0 (63 + 7a + (9 * a + a * a)) = 0 (63 + 7a + (9a + a2)) = 0 Combine like terms: 7a + 9a = 16a (63 + 16a + a2) = 0 Solving 63 + 16a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (9 + a)(7 + a) = 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 '(7 + a)' equal to zero and attempt to solve: Simplifying 7 + a = 0 Solving 7 + a = 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 + a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + a = 0 + -7 a = 0 + -7 Combine like terms: 0 + -7 = -7 a = -7 Simplifying a = -7Solution
a = {-9, -7}
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