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Simplifying (a + 2)(a + 5) = 0 Reorder the terms: (2 + a)(a + 5) = 0 Reorder the terms: (2 + a)(5 + a) = 0 Multiply (2 + a) * (5 + a) (2(5 + a) + a(5 + a)) = 0 ((5 * 2 + a * 2) + a(5 + a)) = 0 ((10 + 2a) + a(5 + a)) = 0 (10 + 2a + (5 * a + a * a)) = 0 (10 + 2a + (5a + a2)) = 0 Combine like terms: 2a + 5a = 7a (10 + 7a + a2) = 0 Solving 10 + 7a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (5 + a)(2 + a) = 0Subproblem 1
Set the factor '(5 + a)' equal to zero and attempt to solve: Simplifying 5 + a = 0 Solving 5 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + a = 0 + -5 a = 0 + -5 Combine like terms: 0 + -5 = -5 a = -5 Simplifying a = -5Subproblem 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 = {-5, -2}
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