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Simplifying (a + 3)(9a + 8) = 0 Reorder the terms: (3 + a)(9a + 8) = 0 Reorder the terms: (3 + a)(8 + 9a) = 0 Multiply (3 + a) * (8 + 9a) (3(8 + 9a) + a(8 + 9a)) = 0 ((8 * 3 + 9a * 3) + a(8 + 9a)) = 0 ((24 + 27a) + a(8 + 9a)) = 0 (24 + 27a + (8 * a + 9a * a)) = 0 (24 + 27a + (8a + 9a2)) = 0 Combine like terms: 27a + 8a = 35a (24 + 35a + 9a2) = 0 Solving 24 + 35a + 9a2 = 0 Solving for variable 'a'. Factor a trinomial. (3 + a)(8 + 9a) = 0Subproblem 1
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 = -3Subproblem 2
Set the factor '(8 + 9a)' equal to zero and attempt to solve: Simplifying 8 + 9a = 0 Solving 8 + 9a = 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 + 9a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9a = 0 + -8 9a = 0 + -8 Combine like terms: 0 + -8 = -8 9a = -8 Divide each side by '9'. a = -0.8888888889 Simplifying a = -0.8888888889Solution
a = {-3, -0.8888888889}
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