\[(b - 4)\sqrt{\frac{1}{20 - 5b}} = \sqrt{\frac{(b - 4)^{2}}{20 - 5b}} =\]
\[(b - 4)\sqrt{\frac{1}{20 - 5b}} = - \sqrt{\frac{4 - b}{5}},\ \]
\[b < 4.\]