Сократите дробь: (5x^2-3x-2)/(5x^2+2x).

\[\frac{5x^{2} - 3x - 2}{5x^{2} + 2x} =\]

\[= \frac{(5x + 2)(x - 1)}{x(5x + 2)} = \frac{x - 1}{x}.\]

\[5x^{2} - 3x - 2 =\]

\[= 5\left( x + \frac{2}{5} \right)(x - 1) =\]

\[= (5x + 2)(x - 1);\]

\[D = 9 + 40 = 49\]

\[x_{1} = \frac{3 + 7}{10} = 1;\]

\[x_{2} = \frac{3 - 7}{10} = - \frac{4}{10} = - \frac{2}{5}.\]