solve:-

(x+1)(x+2)(x+3)(x+4)+1=0

Dear sayan

(x+1)(x+2)(x+3)(x+4)+1=0

(x+1)(x+1+1)(x+3)(x+3+1)+1=0

[ (x+1)² +(x+1) ][ (x+3)² +(x+3)] +1 =0

(x+1)²(x+3)² +(x+3)²(x+1) +(x+1)²(x+3) +(x+1)(x+3) +1=0

(x+1)²(x+3)²   +2(x+1)(x+3)(x+2) +(x+2)² =0

[(x+1)(x+3) +(x+2)]² =0

 [(x+1)(x+3) +(x+2)]=0

 x² +5x +5 =0

 now solve for x

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