Решите уравнение 2x^2=2*(1-2x)+x.

\[2x^{2} = 2 \cdot (1 - 2x) + x\]

\[2x^{2} = 2 - 4x + x\]

\[2x^{2} + 3x - 2 = 0\]

\[D = 9 + 16 = 25\]

\[x_{1} = \frac{- 3 + 5}{4} = \frac{2}{4} = 0,5;\]

\[x_{2} = \frac{- 3 - 5}{4} = - \frac{8}{4} = - 2.\]

\[Ответ:0,5;\ - 2.\]