\[\boxed{\text{689\ (689).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[343 - 8x^{3} + 2x\left( 4x^{2} - 25 \right) = 43\]
\[343 - 8x^{3} + 8x^{3} - 50x = 43\]
\[- 50x = - 300\]
\[x = 6\]
\[Ответ:x = 6.\]
\[100 \cdot \left( 0,008x^{3} + 1 \right) =\]
\[= 0,8x^{3} - 20x\]
\[0,8x^{3} + 100 = 0,8x^{3} - 20x\]
\[20x = - 100\]
\[x = - 5\]
\[Ответ:\ x = - 5.\ \]