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Simplifying a2 + 18a + 24 = 7 Reorder the terms: 24 + 18a + a2 = 7 Solving 24 + 18a + a2 = 7 Solving for variable 'a'. Reorder the terms: 24 + -7 + 18a + a2 = 7 + -7 Combine like terms: 24 + -7 = 17 17 + 18a + a2 = 7 + -7 Combine like terms: 7 + -7 = 0 17 + 18a + a2 = 0 Factor a trinomial. (17 + a)(1 + a) = 0Subproblem 1
Set the factor '(17 + a)' equal to zero and attempt to solve: Simplifying 17 + a = 0 Solving 17 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + a = 0 + -17 Combine like terms: 17 + -17 = 0 0 + a = 0 + -17 a = 0 + -17 Combine like terms: 0 + -17 = -17 a = -17 Simplifying a = -17Subproblem 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 = {-17, -1}
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