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Simplifying 9(a + 1)(a + 2) = 0 Reorder the terms: 9(1 + a)(a + 2) = 0 Reorder the terms: 9(1 + a)(2 + a) = 0 Multiply (1 + a) * (2 + a) 9(1(2 + a) + a(2 + a)) = 0 9((2 * 1 + a * 1) + a(2 + a)) = 0 9((2 + 1a) + a(2 + a)) = 0 9(2 + 1a + (2 * a + a * a)) = 0 9(2 + 1a + (2a + a2)) = 0 Combine like terms: 1a + 2a = 3a 9(2 + 3a + a2) = 0 (2 * 9 + 3a * 9 + a2 * 9) = 0 (18 + 27a + 9a2) = 0 Solving 18 + 27a + 9a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '9'. 9(2 + 3a + a2) = 0 Factor a trinomial. 9((2 + a)(1 + a)) = 0 Ignore the factor 9.Subproblem 1
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 = -2Subproblem 2
Set the factor '(1 + a)' equal to zero and attempt to solve: Simplifying 1 + a = 0 Solving 1 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a = 0 + -1 a = 0 + -1 Combine like terms: 0 + -1 = -1 a = -1 Simplifying a = -1Solution
a = {-2, -1}
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