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Simplifying (11a + 5)(a + -11) = 0 Reorder the terms: (5 + 11a)(a + -11) = 0 Reorder the terms: (5 + 11a)(-11 + a) = 0 Multiply (5 + 11a) * (-11 + a) (5(-11 + a) + 11a * (-11 + a)) = 0 ((-11 * 5 + a * 5) + 11a * (-11 + a)) = 0 ((-55 + 5a) + 11a * (-11 + a)) = 0 (-55 + 5a + (-11 * 11a + a * 11a)) = 0 (-55 + 5a + (-121a + 11a2)) = 0 Combine like terms: 5a + -121a = -116a (-55 + -116a + 11a2) = 0 Solving -55 + -116a + 11a2 = 0 Solving for variable 'a'. Factor a trinomial. (-5 + -11a)(11 + -1a) = 0Subproblem 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 '(11 + -1a)' equal to zero and attempt to solve: Simplifying 11 + -1a = 0 Solving 11 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1a = 0 + -11 -1a = 0 + -11 Combine like terms: 0 + -11 = -11 -1a = -11 Divide each side by '-1'. a = 11 Simplifying a = 11Solution
a = {-0.4545454545, 11}
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