这是几次方程？如何求根？

风花飘飘

S*X^3-R^2*X^3+(1353*5^(3/2)+15127)^(1/25)*8^(1/5)*X^3/(sqrt(5)*(11*5^(3/2)+123)^(1/5)+3*(11*5^(3/2)+123)^(1/5))^(1/5)-R*S*X^2+(1353*5^(3/2)+15127)^(1/25)*8^(1/5)*R*X^2/(sqrt(5)*(11*5^(3/2)+123)^(1/5)+3*(11*5^(3/2)+123)^(1/5))^(1/5)-(3*sqrt(5)+7)^(1/5)*65536^(1/25)*X^2/(sqrt(5)*(11*5^(3/2)+123)^(1/5)+3*(11*5^(3/2)+123)^(1/5))^(1/5)+(1353*5^(3/2)+15127)^(1/25)*8^(1/5)*S*X/(sqrt(5)*(11*5^(3/2)+123)^(1/5)+3*(11*5^(3/2)+123)^(1/5))^(1/5)+(3*sqrt(5)+7)^(1/5)*65536^(1/25)*R*X/(sqrt(5)*(11*5^(3/2)+123)^(1/5)+3*(11*5^(3/2)+123)^(1/5))^(1/5)+5*X
=0

其中：
R= ((sqrt(5)+3)^(1/5)*X^2+2^(13/25)*(5^(3/2)+11)^(2/25))/((sqrt(5)+3)^(1/5)*X)

S =(-(2*(sqrt(5)+3)^(1/5)*(5^(3/2)+11)^(2/25)*X^3+2^(13/25)*(5^(3/2)+11)^(4/25)*X-2^(12/25)*(sqrt(5)+3)^(2/5))/((sqrt(5)+3)^(1/5)*(5^(3/2)+11)^(2/25)*X))

解方程，求X.