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Simplifying a2 + 8a + 44 = 4 + -6a Reorder the terms: 44 + 8a + a2 = 4 + -6a Solving 44 + 8a + a2 = 4 + -6a Solving for variable 'a'. Reorder the terms: 44 + -4 + 8a + 6a + a2 = 4 + -6a + -4 + 6a Combine like terms: 44 + -4 = 40 40 + 8a + 6a + a2 = 4 + -6a + -4 + 6a Combine like terms: 8a + 6a = 14a 40 + 14a + a2 = 4 + -6a + -4 + 6a Reorder the terms: 40 + 14a + a2 = 4 + -4 + -6a + 6a Combine like terms: 4 + -4 = 0 40 + 14a + a2 = 0 + -6a + 6a 40 + 14a + a2 = -6a + 6a Combine like terms: -6a + 6a = 0 40 + 14a + a2 = 0 Factor a trinomial. (10 + a)(4 + a) = 0Subproblem 1
Set the factor '(10 + a)' equal to zero and attempt to solve: Simplifying 10 + a = 0 Solving 10 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + a = 0 + -10 a = 0 + -10 Combine like terms: 0 + -10 = -10 a = -10 Simplifying a = -10Subproblem 2
Set the factor '(4 + a)' equal to zero and attempt to solve: Simplifying 4 + a = 0 Solving 4 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + a = 0 + -4 a = 0 + -4 Combine like terms: 0 + -4 = -4 a = -4 Simplifying a = -4Solution
a = {-10, -4}
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