x^2+x-(a+2) (a+1)=0
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x²+x-(a+1)(a+2)=0
x²-(a+1)x+(a+2)x-(a+1)(a+2)=0
→x[x-(a+1)]+(a+2)[x-(a+1)]=0
→[x-(a+1)][x+(a+2)]=0
[x-(a+1)] =0 or [x+(a+2)]=0
therefore,
x= a+1 or x = -(a+2)
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