Решите уравнение 4x^2 (1-x)=1-x.

\(4x^{2}(1 - x) = 1 - x\)

\[1 - x = 0\]

\[x = 1.\]

\[4x^{2} = 1\]

\[x^{2} = \frac{1}{4}\]

\[x = \pm \frac{1}{2}.\]

\[Ответ:x = 1;\ \ x = \pm \frac{1}{2}.\]