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Simplifying (a + 13)(a + 8) = 0 Reorder the terms: (13 + a)(a + 8) = 0 Reorder the terms: (13 + a)(8 + a) = 0 Multiply (13 + a) * (8 + a) (13(8 + a) + a(8 + a)) = 0 ((8 * 13 + a * 13) + a(8 + a)) = 0 ((104 + 13a) + a(8 + a)) = 0 (104 + 13a + (8 * a + a * a)) = 0 (104 + 13a + (8a + a2)) = 0 Combine like terms: 13a + 8a = 21a (104 + 21a + a2) = 0 Solving 104 + 21a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (13 + a)(8 + a) = 0Subproblem 1
Set the factor '(13 + a)' equal to zero and attempt to solve: Simplifying 13 + a = 0 Solving 13 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + a = 0 + -13 Combine like terms: 13 + -13 = 0 0 + a = 0 + -13 a = 0 + -13 Combine like terms: 0 + -13 = -13 a = -13 Simplifying a = -13Subproblem 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 = {-13, -8}
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