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Simplifying a2 + 23a = -126 Reorder the terms: 23a + a2 = -126 Solving 23a + a2 = -126 Solving for variable 'a'. Reorder the terms: 126 + 23a + a2 = -126 + 126 Combine like terms: -126 + 126 = 0 126 + 23a + a2 = 0 Factor a trinomial. (14 + a)(9 + a) = 0Subproblem 1
Set the factor '(14 + a)' equal to zero and attempt to solve: Simplifying 14 + a = 0 Solving 14 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + a = 0 + -14 Combine like terms: 14 + -14 = 0 0 + a = 0 + -14 a = 0 + -14 Combine like terms: 0 + -14 = -14 a = -14 Simplifying a = -14Subproblem 2
Set the factor '(9 + a)' equal to zero and attempt to solve: Simplifying 9 + a = 0 Solving 9 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + a = 0 + -9 a = 0 + -9 Combine like terms: 0 + -9 = -9 a = -9 Simplifying a = -9Solution
a = {-14, -9}
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