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Simplifying a2 + 12a + 79 = 7 + -5a Reorder the terms: 79 + 12a + a2 = 7 + -5a Solving 79 + 12a + a2 = 7 + -5a Solving for variable 'a'. Reorder the terms: 79 + -7 + 12a + 5a + a2 = 7 + -5a + -7 + 5a Combine like terms: 79 + -7 = 72 72 + 12a + 5a + a2 = 7 + -5a + -7 + 5a Combine like terms: 12a + 5a = 17a 72 + 17a + a2 = 7 + -5a + -7 + 5a Reorder the terms: 72 + 17a + a2 = 7 + -7 + -5a + 5a Combine like terms: 7 + -7 = 0 72 + 17a + a2 = 0 + -5a + 5a 72 + 17a + a2 = -5a + 5a Combine like terms: -5a + 5a = 0 72 + 17a + a2 = 0 Factor a trinomial. (9 + a)(8 + 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 '(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 = -8Solution
a = {-9, -8}
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