Решите уравнение: x*(4x+1)-7*(x^2-2x)=3x*(8-x)+6.

\[x \cdot (4x + 1) - 7 \cdot \left( x^{2} - 2x \right) =\]

\[= 3x \cdot (8 - x) + 6\]

\[4x^{2} + x - 7x^{2} + 14x =\]

\[= 24x - 3x^{2} + 6\]

\[- 9x = 6\]

\[x = - \frac{2}{3}\]

\[Ответ:\ x = - \frac{2}{3}.\]