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Simplifying (5a + 4)(11a + 2) = 0 Reorder the terms: (4 + 5a)(11a + 2) = 0 Reorder the terms: (4 + 5a)(2 + 11a) = 0 Multiply (4 + 5a) * (2 + 11a) (4(2 + 11a) + 5a * (2 + 11a)) = 0 ((2 * 4 + 11a * 4) + 5a * (2 + 11a)) = 0 ((8 + 44a) + 5a * (2 + 11a)) = 0 (8 + 44a + (2 * 5a + 11a * 5a)) = 0 (8 + 44a + (10a + 55a2)) = 0 Combine like terms: 44a + 10a = 54a (8 + 54a + 55a2) = 0 Solving 8 + 54a + 55a2 = 0 Solving for variable 'a'. Factor a trinomial. (4 + 5a)(2 + 11a) = 0Subproblem 1
Set the factor '(4 + 5a)' equal to zero and attempt to solve: Simplifying 4 + 5a = 0 Solving 4 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5a = 0 + -4 5a = 0 + -4 Combine like terms: 0 + -4 = -4 5a = -4 Divide each side by '5'. a = -0.8 Simplifying a = -0.8Subproblem 2
Set the factor '(2 + 11a)' equal to zero and attempt to solve: Simplifying 2 + 11a = 0 Solving 2 + 11a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 11a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 11a = 0 + -2 11a = 0 + -2 Combine like terms: 0 + -2 = -2 11a = -2 Divide each side by '11'. a = -0.1818181818 Simplifying a = -0.1818181818Solution
a = {-0.8, -0.1818181818}
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