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Simplifying a2 + -26a + 169 = 0 Reorder the terms: 169 + -26a + a2 = 0 Solving 169 + -26a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (13 + -1a)(13 + -1a) = 0Subproblem 1
Set the factor '(13 + -1a)' equal to zero and attempt to solve: Simplifying 13 + -1a = 0 Solving 13 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1a = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1a = 0 + -13 -1a = 0 + -13 Combine like terms: 0 + -13 = -13 -1a = -13 Divide each side by '-1'. a = 13 Simplifying a = 13Subproblem 2
Set the factor '(13 + -1a)' equal to zero and attempt to solve: Simplifying 13 + -1a = 0 Solving 13 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1a = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1a = 0 + -13 -1a = 0 + -13 Combine like terms: 0 + -13 = -13 -1a = -13 Divide each side by '-1'. a = 13 Simplifying a = 13Solution
a = {13, 13}
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