Разложите на множители: 2x^2+5x+2=0.

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

\[D = 25 - 16 = 9\]

\[x_{1} = \frac{- 5 + 3}{4} = - \frac{2}{4} = - \frac{1}{2};\]

\[x_{2} = \frac{- 5 - 3}{4} = - 2;\]

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

\[= (2x + 1)(x + 2).\]