Решите уравнение: (6x-1)*(x+1)=20.

\[(6x - 1)(x + 1) = 20\]

\[6x^{2} - x + 6x - 1 - 20 = 0\]

\[6x^{2} + 5x - 21 = 0\]

\[D = 25 + 504 = 529\]

\[x_{1} = \frac{- 5 + 23}{12} = \frac{18}{12} = \frac{3}{2} = 1,5;\]

\[x_{2} = \frac{- 5 - 23}{12} = - \frac{28}{12} = - \frac{7}{3} =\]

\[= - 2\frac{1}{3}.\]

\[Ответ:\ \ 1,5;\ \ - 2\frac{1}{3}.\]