Solve for x by factorization method $x^{2} - 2 b x - 1 = - b^{2}$

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Solution

$x^{2} - b x - b x - b^{2} = 1 x (x - b) - b (x - b) = 1 (x - b)^{2} = 1 x - b = \frac{+}{-} 1$
x = 1 + b or b - 1

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