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Simplifying (a + 6)(a + 2) = 0 Reorder the terms: (6 + a)(a + 2) = 0 Reorder the terms: (6 + a)(2 + a) = 0 Multiply (6 + a) * (2 + a) (6(2 + a) + a(2 + a)) = 0 ((2 * 6 + a * 6) + a(2 + a)) = 0 ((12 + 6a) + a(2 + a)) = 0 (12 + 6a + (2 * a + a * a)) = 0 (12 + 6a + (2a + a2)) = 0 Combine like terms: 6a + 2a = 8a (12 + 8a + a2) = 0 Solving 12 + 8a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (6 + a)(2 + a) = 0Subproblem 1
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 = -6Subproblem 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 = {-6, -2}
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