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Simplifying a2 = -24 + -11a Solving a2 = -24 + -11a Solving for variable 'a'. Reorder the terms: 24 + 11a + a2 = -24 + -11a + 24 + 11a Reorder the terms: 24 + 11a + a2 = -24 + 24 + -11a + 11a Combine like terms: -24 + 24 = 0 24 + 11a + a2 = 0 + -11a + 11a 24 + 11a + a2 = -11a + 11a Combine like terms: -11a + 11a = 0 24 + 11a + a2 = 0 Factor a trinomial. (8 + a)(3 + a) = 0Subproblem 1
Set the factor '(8 + a)' equal to zero and attempt to solve: Simplifying 8 + a = 0 Solving 8 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + a = 0 + -8 a = 0 + -8 Combine like terms: 0 + -8 = -8 a = -8 Simplifying a = -8Subproblem 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 = {-8, -3}
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