x≤-1时,不等式ax²-|x+1|+2a＜0为ax²+x+2a+1＜0
x>-1时,不等式ax²-|x+1|+2a＜0为ax²-x+2a-1＜0
ax²-|x+1|+2a＜0的解集为空集
a>0
1-4a(2a+1)