\(4x^{2}(1 - x) = 1 - x\)
\[1 - x = 0\]
\[x = 1.\]
\[4x^{2} = 1\]
\[x^{2} = \frac{1}{4}\]
\[x = \pm \frac{1}{2}.\]
\[Ответ:x = 1;\ \ x = \pm \frac{1}{2}.\]