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Simplifying 16a2 + -88a + 121 = 0 Reorder the terms: 121 + -88a + 16a2 = 0 Solving 121 + -88a + 16a2 = 0 Solving for variable 'a'. Factor a trinomial. (11 + -4a)(11 + -4a) = 0Subproblem 1
Set the factor '(11 + -4a)' equal to zero and attempt to solve: Simplifying 11 + -4a = 0 Solving 11 + -4a = 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 + -4a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4a = 0 + -11 -4a = 0 + -11 Combine like terms: 0 + -11 = -11 -4a = -11 Divide each side by '-4'. a = 2.75 Simplifying a = 2.75Subproblem 2
Set the factor '(11 + -4a)' equal to zero and attempt to solve: Simplifying 11 + -4a = 0 Solving 11 + -4a = 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 + -4a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4a = 0 + -11 -4a = 0 + -11 Combine like terms: 0 + -11 = -11 -4a = -11 Divide each side by '-4'. a = 2.75 Simplifying a = 2.75Solution
a = {2.75, 2.75}
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