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Simplifying 0 = (a + 4)(a + 4) Reorder the terms: 0 = (4 + a)(a + 4) Reorder the terms: 0 = (4 + a)(4 + a) Multiply (4 + a) * (4 + a) 0 = (4(4 + a) + a(4 + a)) 0 = ((4 * 4 + a * 4) + a(4 + a)) 0 = ((16 + 4a) + a(4 + a)) 0 = (16 + 4a + (4 * a + a * a)) 0 = (16 + 4a + (4a + a2)) Combine like terms: 4a + 4a = 8a 0 = (16 + 8a + a2) Solving 0 = 16 + 8a + a2 Solving for variable 'a'. Combine like terms: 0 + -16 = -16 -16 + -8a + -1a2 = 16 + 8a + a2 + -16 + -8a + -1a2 Reorder the terms: -16 + -8a + -1a2 = 16 + -16 + 8a + -8a + a2 + -1a2 Combine like terms: 16 + -16 = 0 -16 + -8a + -1a2 = 0 + 8a + -8a + a2 + -1a2 -16 + -8a + -1a2 = 8a + -8a + a2 + -1a2 Combine like terms: 8a + -8a = 0 -16 + -8a + -1a2 = 0 + a2 + -1a2 -16 + -8a + -1a2 = a2 + -1a2 Combine like terms: a2 + -1a2 = 0 -16 + -8a + -1a2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(16 + 8a + a2) = 0 Factor a trinomial. -1((4 + a)(4 + a)) = 0 Ignore the factor -1.Subproblem 1
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 = -4Subproblem 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 = {-4, -4}
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