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Simplifying (11a + 9)(2a + -6) = 0 Reorder the terms: (9 + 11a)(2a + -6) = 0 Reorder the terms: (9 + 11a)(-6 + 2a) = 0 Multiply (9 + 11a) * (-6 + 2a) (9(-6 + 2a) + 11a * (-6 + 2a)) = 0 ((-6 * 9 + 2a * 9) + 11a * (-6 + 2a)) = 0 ((-54 + 18a) + 11a * (-6 + 2a)) = 0 (-54 + 18a + (-6 * 11a + 2a * 11a)) = 0 (-54 + 18a + (-66a + 22a2)) = 0 Combine like terms: 18a + -66a = -48a (-54 + -48a + 22a2) = 0 Solving -54 + -48a + 22a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(-27 + -24a + 11a2) = 0 Factor a trinomial. 2((-9 + -11a)(3 + -1a)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + -11a)' equal to zero and attempt to solve: Simplifying -9 + -11a = 0 Solving -9 + -11a = 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 + -11a = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -11a = 0 + 9 -11a = 0 + 9 Combine like terms: 0 + 9 = 9 -11a = 9 Divide each side by '-11'. a = -0.8181818182 Simplifying a = -0.8181818182Subproblem 2
Set the factor '(3 + -1a)' equal to zero and attempt to solve: Simplifying 3 + -1a = 0 Solving 3 + -1a = 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 + -1a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = 0 + -3 -1a = 0 + -3 Combine like terms: 0 + -3 = -3 -1a = -3 Divide each side by '-1'. a = 3 Simplifying a = 3Solution
a = {-0.8181818182, 3}
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