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Simplifying (a + 4)(a + 4) = 0 Reorder the terms: (4 + a)(a + 4) = 0 Reorder the terms: (4 + a)(4 + a) = 0 Multiply (4 + a) * (4 + a) (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)) = 0 Combine like terms: 4a + 4a = 8a (16 + 8a + a2) = 0 Solving 16 + 8a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (4 + a)(4 + a) = 0Subproblem 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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