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Simplifying 7a2 + 77a = -168 Reorder the terms: 77a + 7a2 = -168 Solving 77a + 7a2 = -168 Solving for variable 'a'. Reorder the terms: 168 + 77a + 7a2 = -168 + 168 Combine like terms: -168 + 168 = 0 168 + 77a + 7a2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(24 + 11a + a2) = 0 Factor a trinomial. 7((8 + a)(3 + a)) = 0 Ignore the factor 7.Subproblem 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 '(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 = {-8, -3}
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