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