解方程，求X的值

令m = x^3+2x^2+x n = x^3+2x^2-5x
x = (m-n) / 6

原式化为
4(m-n)/m + 5(m-n)/6t2 + 3/2 = 0
即 4 - 4n/m + 5m/n - 5 + 9 = 0
令p = n/m 上式化为 4p - 5/p - 8 = 0 4p^2 - 8p- 5=0
求得 p = -1/2 或 p = 5/2

p=-1/2时 m = -2n x=-n/2 n=-2x = x^3+2x^2-5x
x不能等于0 分母不为0 x^2+2x-3=0 x = -3;x =1

p=5/2时 m = 2n/5 x=-n/10 n=-10x = x^3+2x^2-5x
x^2 + 2x + 5 = 0 无有理根

所以 综上所述 x = -3;x =1