Consider the equation. 6x6−25x5+31x4−31x2+25x−6=0 Simplify the equation as follows, 6(x6−1)−25x(x4−1)+31x2(x2−1)=0 (x2−1)[6(x4+x2+1)−25(x2+1)+31x2]=0 (x2−1)[6x4−25x3+37x2−25x+6]=0 So x=±1 Or 6x4−25x3+37x2−25x+6=0 6(x4+1)−25x(x2+1)+37x2=0 6(x+‌‌