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Simplifying X2 + -2X + 1 = 169 Reorder the terms: 1 + -2X + X2 = 169 Solving 1 + -2X + X2 = 169 Solving for variable 'X'. Reorder the terms: 1 + -169 + -2X + X2 = 169 + -169 Combine like terms: 1 + -169 = -168 -168 + -2X + X2 = 169 + -169 Combine like terms: 169 + -169 = 0 -168 + -2X + X2 = 0 Factor a trinomial. (-12 + -1X)(14 + -1X) = 0Subproblem 1
Set the factor '(-12 + -1X)' equal to zero and attempt to solve: Simplifying -12 + -1X = 0 Solving -12 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1X = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1X = 0 + 12 -1X = 0 + 12 Combine like terms: 0 + 12 = 12 -1X = 12 Divide each side by '-1'. X = -12 Simplifying X = -12Subproblem 2
Set the factor '(14 + -1X)' equal to zero and attempt to solve: Simplifying 14 + -1X = 0 Solving 14 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1X = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1X = 0 + -14 -1X = 0 + -14 Combine like terms: 0 + -14 = -14 -1X = -14 Divide each side by '-1'. X = 14 Simplifying X = 14Solution
X = {-12, 14}
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