解不等式[2x³(x+3)-x²]÷2x²<-x(3-x)
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解不等式[2x³(x+3)-x²]÷2x²<-x(3-x)
解不等式[2x³(x+3)-x²]÷2x²<-x(3-x)
解不等式[2x³(x+3)-x²]÷2x²<-x(3-x)
[2x³(x+3)-x²]÷2x²<-x(3-x)
∵2x²>0
∴x(x+3)-x²<-3x+x²
x²+3x-x²+3x-x²<0
-x²+6x<0
-x(x-6)<0
x(x-6)>0
x>0且x>6
∴x>6