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Simplifying (11a + 5)(6a + -18) = 0 Reorder the terms: (5 + 11a)(6a + -18) = 0 Reorder the terms: (5 + 11a)(-18 + 6a) = 0 Multiply (5 + 11a) * (-18 + 6a) (5(-18 + 6a) + 11a * (-18 + 6a)) = 0 ((-18 * 5 + 6a * 5) + 11a * (-18 + 6a)) = 0 ((-90 + 30a) + 11a * (-18 + 6a)) = 0 (-90 + 30a + (-18 * 11a + 6a * 11a)) = 0 (-90 + 30a + (-198a + 66a2)) = 0 Combine like terms: 30a + -198a = -168a (-90 + -168a + 66a2) = 0 Solving -90 + -168a + 66a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '6'. 6(-15 + -28a + 11a2) = 0 Factor a trinomial. 6((-5 + -11a)(3 + -1a)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-5 + -11a)' equal to zero and attempt to solve: Simplifying -5 + -11a = 0 Solving -5 + -11a = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -11a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -11a = 0 + 5 -11a = 0 + 5 Combine like terms: 0 + 5 = 5 -11a = 5 Divide each side by '-11'. a = -0.4545454545 Simplifying a = -0.4545454545Subproblem 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 = {-0.4545454545, 3}
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