Решите уравнение:

x (x+2) (6-x) = 14-x (x-2) ^2

x (x+2) (6-x) = 14-x (x-2) ^2

-x (x+2) (6-x) - 14+x (x-2) ²=0

-x (x+2) (x-6) - 14+x (x²-4x+4) = 0

- (x²+2x) (x-6) - 14 + (x³-4x²+4x) = 0

- (x³-6x²+2x²-12x) - 14 + (x³-4x²+4x) = 0

- (x³-4x²-12x) - 14 + (x³-4x²+4x) = 0

-x³+4x²+12x-14+x³-4x²+4x=0

16x-14=0

16x=14

x=14:16

x=7/8