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Simplifying a2 + 20a + 61 = -3 Reorder the terms: 61 + 20a + a2 = -3 Solving 61 + 20a + a2 = -3 Solving for variable 'a'. Reorder the terms: 61 + 3 + 20a + a2 = -3 + 3 Combine like terms: 61 + 3 = 64 64 + 20a + a2 = -3 + 3 Combine like terms: -3 + 3 = 0 64 + 20a + a2 = 0 Factor a trinomial. (16 + a)(4 + a) = 0Subproblem 1
Set the factor '(16 + a)' equal to zero and attempt to solve: Simplifying 16 + a = 0 Solving 16 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + a = 0 + -16 Combine like terms: 16 + -16 = 0 0 + a = 0 + -16 a = 0 + -16 Combine like terms: 0 + -16 = -16 a = -16 Simplifying a = -16Subproblem 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 = {-16, -4}
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