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Simplifying a2 + 16a = -15 Reorder the terms: 16a + a2 = -15 Solving 16a + a2 = -15 Solving for variable 'a'. Reorder the terms: 15 + 16a + a2 = -15 + 15 Combine like terms: -15 + 15 = 0 15 + 16a + a2 = 0 Factor a trinomial. (15 + a)(1 + 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 '(1 + a)' equal to zero and attempt to solve: Simplifying 1 + a = 0 Solving 1 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a = 0 + -1 a = 0 + -1 Combine like terms: 0 + -1 = -1 a = -1 Simplifying a = -1Solution
a = {-15, -1}
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