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Simplifying 0 = x2 + -26x + 169 Reorder the terms: 0 = 169 + -26x + x2 Solving 0 = 169 + -26x + x2 Solving for variable 'x'. Combine like terms: 0 + -169 = -169 -169 + 26x + -1x2 = 169 + -26x + x2 + -169 + 26x + -1x2 Reorder the terms: -169 + 26x + -1x2 = 169 + -169 + -26x + 26x + x2 + -1x2 Combine like terms: 169 + -169 = 0 -169 + 26x + -1x2 = 0 + -26x + 26x + x2 + -1x2 -169 + 26x + -1x2 = -26x + 26x + x2 + -1x2 Combine like terms: -26x + 26x = 0 -169 + 26x + -1x2 = 0 + x2 + -1x2 -169 + 26x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -169 + 26x + -1x2 = 0 Factor a trinomial. (-13 + x)(13 + -1x) = 0Subproblem 1
Set the factor '(-13 + x)' equal to zero and attempt to solve: Simplifying -13 + x = 0 Solving -13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + x = 0 + 13 x = 0 + 13 Combine like terms: 0 + 13 = 13 x = 13 Simplifying x = 13Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Solution
x = {13, 13}
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