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Simplifying (11a + 9)(2a + -5) = 0 Reorder the terms: (9 + 11a)(2a + -5) = 0 Reorder the terms: (9 + 11a)(-5 + 2a) = 0 Multiply (9 + 11a) * (-5 + 2a) (9(-5 + 2a) + 11a * (-5 + 2a)) = 0 ((-5 * 9 + 2a * 9) + 11a * (-5 + 2a)) = 0 ((-45 + 18a) + 11a * (-5 + 2a)) = 0 (-45 + 18a + (-5 * 11a + 2a * 11a)) = 0 (-45 + 18a + (-55a + 22a2)) = 0 Combine like terms: 18a + -55a = -37a (-45 + -37a + 22a2) = 0 Solving -45 + -37a + 22a2 = 0 Solving for variable 'a'. Factor a trinomial. (-9 + -11a)(5 + -2a) = 0Subproblem 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 '(5 + -2a)' equal to zero and attempt to solve: Simplifying 5 + -2a = 0 Solving 5 + -2a = 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 + -2a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2a = 0 + -5 -2a = 0 + -5 Combine like terms: 0 + -5 = -5 -2a = -5 Divide each side by '-2'. a = 2.5 Simplifying a = 2.5Solution
a = {-0.8181818182, 2.5}
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