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Simplifying a2 = -55 + 16a Solving a2 = -55 + 16a Solving for variable 'a'. Reorder the terms: 55 + -16a + a2 = -55 + 16a + 55 + -16a Reorder the terms: 55 + -16a + a2 = -55 + 55 + 16a + -16a Combine like terms: -55 + 55 = 0 55 + -16a + a2 = 0 + 16a + -16a 55 + -16a + a2 = 16a + -16a Combine like terms: 16a + -16a = 0 55 + -16a + a2 = 0 Factor a trinomial. (5 + -1a)(11 + -1a) = 0Subproblem 1
Set the factor '(5 + -1a)' equal to zero and attempt to solve: Simplifying 5 + -1a = 0 Solving 5 + -1a = 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 + -1a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1a = 0 + -5 -1a = 0 + -5 Combine like terms: 0 + -5 = -5 -1a = -5 Divide each side by '-1'. a = 5 Simplifying a = 5Subproblem 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 = {5, 11}
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