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Simplifying a2 + 18a + 40 = -5 Reorder the terms: 40 + 18a + a2 = -5 Solving 40 + 18a + a2 = -5 Solving for variable 'a'. Reorder the terms: 40 + 5 + 18a + a2 = -5 + 5 Combine like terms: 40 + 5 = 45 45 + 18a + a2 = -5 + 5 Combine like terms: -5 + 5 = 0 45 + 18a + a2 = 0 Factor a trinomial. (15 + a)(3 + a) = 0Subproblem 1
Set the factor '(15 + a)' equal to zero and attempt to solve: Simplifying 15 + a = 0 Solving 15 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + a = 0 + -15 Combine like terms: 15 + -15 = 0 0 + a = 0 + -15 a = 0 + -15 Combine like terms: 0 + -15 = -15 a = -15 Simplifying a = -15Subproblem 2
Set the factor '(3 + a)' equal to zero and attempt to solve: Simplifying 3 + a = 0 Solving 3 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a = 0 + -3 a = 0 + -3 Combine like terms: 0 + -3 = -3 a = -3 Simplifying a = -3Solution
a = {-15, -3}
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