Can you help me solve for real roots? 2x^8+15x^4=27

u=x^4 
2u^2+15u-27=0 
2u^2+18u-3u-27=0 
2u(u+9)-3(u+9)=0 
(2u-3)(u+9)=0 

but u+9 contributes no real roots 

2u-3=0 
u=3/2 

x^4 = 3/2 

x^2 = +- sqrt(3/2) 

from which we use the principal root 

thus 
 
or