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Simplifying a2 + 3a + 20 = 8 + -5a Reorder the terms: 20 + 3a + a2 = 8 + -5a Solving 20 + 3a + a2 = 8 + -5a Solving for variable 'a'. Reorder the terms: 20 + -8 + 3a + 5a + a2 = 8 + -5a + -8 + 5a Combine like terms: 20 + -8 = 12 12 + 3a + 5a + a2 = 8 + -5a + -8 + 5a Combine like terms: 3a + 5a = 8a 12 + 8a + a2 = 8 + -5a + -8 + 5a Reorder the terms: 12 + 8a + a2 = 8 + -8 + -5a + 5a Combine like terms: 8 + -8 = 0 12 + 8a + a2 = 0 + -5a + 5a 12 + 8a + a2 = -5a + 5a Combine like terms: -5a + 5a = 0 12 + 8a + a2 = 0 Factor a trinomial. (6 + a)(2 + a) = 0Subproblem 1
Set the factor '(6 + a)' equal to zero and attempt to solve: Simplifying 6 + a = 0 Solving 6 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + a = 0 + -6 a = 0 + -6 Combine like terms: 0 + -6 = -6 a = -6 Simplifying a = -6Subproblem 2
Set the factor '(2 + a)' equal to zero and attempt to solve: Simplifying 2 + a = 0 Solving 2 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + a = 0 + -2 a = 0 + -2 Combine like terms: 0 + -2 = -2 a = -2 Simplifying a = -2Solution
a = {-6, -2}
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