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Simplifying (a + 4)(a + 9) = 0 Reorder the terms: (4 + a)(a + 9) = 0 Reorder the terms: (4 + a)(9 + a) = 0 Multiply (4 + a) * (9 + a) (4(9 + a) + a(9 + a)) = 0 ((9 * 4 + a * 4) + a(9 + a)) = 0 ((36 + 4a) + a(9 + a)) = 0 (36 + 4a + (9 * a + a * a)) = 0 (36 + 4a + (9a + a2)) = 0 Combine like terms: 4a + 9a = 13a (36 + 13a + a2) = 0 Solving 36 + 13a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (9 + a)(4 + 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 '(4 + a)' equal to zero and attempt to solve: Simplifying 4 + a = 0 Solving 4 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + a = 0 + -4 a = 0 + -4 Combine like terms: 0 + -4 = -4 a = -4 Simplifying a = -4Solution
a = {-9, -4}
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