# Find the integer zeros for equation of degree 8 ?

1. Oct 2, 2011

Find the integer zeros for equation of degree 8 ???

Hi I am trying to find the integer zeros of the equation:

y^8-28y^6x+112y^6+210y^4x^2-1540y^4x-420y^2x^3+2464y^4+4200y^2x^2+105x^4-11872y^2x-1260x^3+8448y^2+4260x^2-5040x=0

I know that I need some substitution to make the degree goes down.
for example Let U=(some thing on x), and V=(some thing on y)

I think the solution depend on Pell's equations or Diophantine equations

I tried to put U=x and V=y^2 but did not know to do after that