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Simplifying (a + 6)(a + 4) = 0 Reorder the terms: (6 + a)(a + 4) = 0 Reorder the terms: (6 + a)(4 + a) = 0 Multiply (6 + a) * (4 + a) (6(4 + a) + a(4 + a)) = 0 ((4 * 6 + a * 6) + a(4 + a)) = 0 ((24 + 6a) + a(4 + a)) = 0 (24 + 6a + (4 * a + a * a)) = 0 (24 + 6a + (4a + a2)) = 0 Combine like terms: 6a + 4a = 10a (24 + 10a + a2) = 0 Solving 24 + 10a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (6 + a)(4 + 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 '(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 = {-6, -4}
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