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Simplifying (a + 9)(a + 6) = 0 Reorder the terms: (9 + a)(a + 6) = 0 Reorder the terms: (9 + a)(6 + a) = 0 Multiply (9 + a) * (6 + a) (9(6 + a) + a(6 + a)) = 0 ((6 * 9 + a * 9) + a(6 + a)) = 0 ((54 + 9a) + a(6 + a)) = 0 (54 + 9a + (6 * a + a * a)) = 0 (54 + 9a + (6a + a2)) = 0 Combine like terms: 9a + 6a = 15a (54 + 15a + a2) = 0 Solving 54 + 15a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (9 + a)(6 + 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 '(6 + a)' equal to zero and attempt to solve: Simplifying 6 + a = 0 Solving 6 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + a = 0 + -6 a = 0 + -6 Combine like terms: 0 + -6 = -6 a = -6 Simplifying a = -6Solution
a = {-9, -6}
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