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Simplifying a2 = -27 + -12a Solving a2 = -27 + -12a Solving for variable 'a'. Reorder the terms: 27 + 12a + a2 = -27 + -12a + 27 + 12a Reorder the terms: 27 + 12a + a2 = -27 + 27 + -12a + 12a Combine like terms: -27 + 27 = 0 27 + 12a + a2 = 0 + -12a + 12a 27 + 12a + a2 = -12a + 12a Combine like terms: -12a + 12a = 0 27 + 12a + a2 = 0 Factor a trinomial. (9 + a)(3 + a) = 0Subproblem 1
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 = -9Subproblem 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 = {-9, -3}
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