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Simplifying (a + 9)(a + 2) = 0 Reorder the terms: (9 + a)(a + 2) = 0 Reorder the terms: (9 + a)(2 + a) = 0 Multiply (9 + a) * (2 + a) (9(2 + a) + a(2 + a)) = 0 ((2 * 9 + a * 9) + a(2 + a)) = 0 ((18 + 9a) + a(2 + a)) = 0 (18 + 9a + (2 * a + a * a)) = 0 (18 + 9a + (2a + a2)) = 0 Combine like terms: 9a + 2a = 11a (18 + 11a + a2) = 0 Solving 18 + 11a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (9 + a)(2 + 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 '(2 + a)' equal to zero and attempt to solve: Simplifying 2 + a = 0 Solving 2 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + a = 0 + -2 a = 0 + -2 Combine like terms: 0 + -2 = -2 a = -2 Simplifying a = -2Solution
a = {-9, -2}
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