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Simplifying (a + 8)(a + 9) = 0 Reorder the terms: (8 + a)(a + 9) = 0 Reorder the terms: (8 + a)(9 + a) = 0 Multiply (8 + a) * (9 + a) (8(9 + a) + a(9 + a)) = 0 ((9 * 8 + a * 8) + a(9 + a)) = 0 ((72 + 8a) + a(9 + a)) = 0 (72 + 8a + (9 * a + a * a)) = 0 (72 + 8a + (9a + a2)) = 0 Combine like terms: 8a + 9a = 17a (72 + 17a + a2) = 0 Solving 72 + 17a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (9 + a)(8 + 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 '(8 + a)' equal to zero and attempt to solve: Simplifying 8 + a = 0 Solving 8 + a = 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 + a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + a = 0 + -8 a = 0 + -8 Combine like terms: 0 + -8 = -8 a = -8 Simplifying a = -8Solution
a = {-9, -8}
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