First set equation to zero like any other quadratic
x^2 +7x +10=0
(x+5)(x+2)=0
x=-2 x=-5 these are your zeros
Now have to test the regions x<-5, x>-2 and x
us between -2 and -5 in original equation
First try (-6) 36 -42 =-6 which is NOT < -10 so this region does not work
Next try -4( this is between-2 and -5) which gives you
16 -28= -12 which IS <-10
Last try 0 which is 0 This is NOT <-10
So the answer is -5 <x< -2