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Simplifying (a + 8)(a + 10) = 0 Reorder the terms: (8 + a)(a + 10) = 0 Reorder the terms: (8 + a)(10 + a) = 0 Multiply (8 + a) * (10 + a) (8(10 + a) + a(10 + a)) = 0 ((10 * 8 + a * 8) + a(10 + a)) = 0 ((80 + 8a) + a(10 + a)) = 0 (80 + 8a + (10 * a + a * a)) = 0 (80 + 8a + (10a + a2)) = 0 Combine like terms: 8a + 10a = 18a (80 + 18a + a2) = 0 Solving 80 + 18a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (10 + a)(8 + a) = 0Subproblem 1
Set the factor '(10 + a)' equal to zero and attempt to solve: Simplifying 10 + a = 0 Solving 10 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + a = 0 + -10 a = 0 + -10 Combine like terms: 0 + -10 = -10 a = -10 Simplifying a = -10Subproblem 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 = {-10, -8}
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