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Simplifying a2 + 34a + 289 = 0 Reorder the terms: 289 + 34a + a2 = 0 Solving 289 + 34a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (17 + a)(17 + a) = 0Subproblem 1
Set the factor '(17 + a)' equal to zero and attempt to solve: Simplifying 17 + a = 0 Solving 17 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + a = 0 + -17 Combine like terms: 17 + -17 = 0 0 + a = 0 + -17 a = 0 + -17 Combine like terms: 0 + -17 = -17 a = -17 Simplifying a = -17Subproblem 2
Set the factor '(17 + a)' equal to zero and attempt to solve: Simplifying 17 + a = 0 Solving 17 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + a = 0 + -17 Combine like terms: 17 + -17 = 0 0 + a = 0 + -17 a = 0 + -17 Combine like terms: 0 + -17 = -17 a = -17 Simplifying a = -17Solution
a = {-17, -17}
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