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Simplifying (4a + 9)(a + 8) = 0 Reorder the terms: (9 + 4a)(a + 8) = 0 Reorder the terms: (9 + 4a)(8 + a) = 0 Multiply (9 + 4a) * (8 + a) (9(8 + a) + 4a * (8 + a)) = 0 ((8 * 9 + a * 9) + 4a * (8 + a)) = 0 ((72 + 9a) + 4a * (8 + a)) = 0 (72 + 9a + (8 * 4a + a * 4a)) = 0 (72 + 9a + (32a + 4a2)) = 0 Combine like terms: 9a + 32a = 41a (72 + 41a + 4a2) = 0 Solving 72 + 41a + 4a2 = 0 Solving for variable 'a'. Factor a trinomial. (8 + a)(9 + 4a) = 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 '(9 + 4a)' equal to zero and attempt to solve: Simplifying 9 + 4a = 0 Solving 9 + 4a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4a = 0 + -9 4a = 0 + -9 Combine like terms: 0 + -9 = -9 4a = -9 Divide each side by '4'. a = -2.25 Simplifying a = -2.25Solution
a = {-8, -2.25}
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