\[4x^{2}(1 - x) = 1 - x\]
\[4x^{2} = \frac{1 - x}{1 - x};\ \ x \neq 1\]
\[4x^{2} = 1\]
\[x^{2} = \frac{1}{4}\]
\[x = \pm \frac{1}{2} = \pm 0,5.\]
\[Ответ:x = \pm 0,5.\]