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Simplifying (a + 2)(2a + 4) = 0 Reorder the terms: (2 + a)(2a + 4) = 0 Reorder the terms: (2 + a)(4 + 2a) = 0 Multiply (2 + a) * (4 + 2a) (2(4 + 2a) + a(4 + 2a)) = 0 ((4 * 2 + 2a * 2) + a(4 + 2a)) = 0 ((8 + 4a) + a(4 + 2a)) = 0 (8 + 4a + (4 * a + 2a * a)) = 0 (8 + 4a + (4a + 2a2)) = 0 Combine like terms: 4a + 4a = 8a (8 + 8a + 2a2) = 0 Solving 8 + 8a + 2a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(4 + 4a + a2) = 0 Factor a trinomial. 2((2 + a)(2 + a)) = 0 Ignore the factor 2.Subproblem 1
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 = -2Subproblem 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 = {-2, -2}
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