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Simplifying a2 = -15a + -56 Reorder the terms: a2 = -56 + -15a Solving a2 = -56 + -15a Solving for variable 'a'. Reorder the terms: 56 + 15a + a2 = -56 + -15a + 56 + 15a Reorder the terms: 56 + 15a + a2 = -56 + 56 + -15a + 15a Combine like terms: -56 + 56 = 0 56 + 15a + a2 = 0 + -15a + 15a 56 + 15a + a2 = -15a + 15a Combine like terms: -15a + 15a = 0 56 + 15a + a2 = 0 Factor a trinomial. (8 + a)(7 + a) = 0Subproblem 1
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 = -8Subproblem 2
Set the factor '(7 + a)' equal to zero and attempt to solve: Simplifying 7 + a = 0 Solving 7 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + a = 0 + -7 a = 0 + -7 Combine like terms: 0 + -7 = -7 a = -7 Simplifying a = -7Solution
a = {-8, -7}
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