Please solve this for me.

Question

x(x+1)>112-5x

Answer 1

x(x+1)>112-5x,

x²+x>112-5x,

x²+6x-112>0,

(x-8)(x+14)>0.

So x-8 and x+14 must both be positive or both negative.

Therefore, x>8 and x>-14; or x<8 and x<-14.

Since 8>-14, it's sufficient that x>8; since -14<8 it's sufficient that x<-14.

SOLUTION: x>8 or x<-14.