$$24x^2+2x=15$$

$$24x^2+2x-15=0$$

$$24x^2+20x-18x-15=0$$

$$4x(6x+5)-3(6x+5)=0$$

$$(6x+5)(4x-3)=0$$

We can write this as

$$(6x+5)=0,(4x-3)=0$$

$$6x=-5,4x=3$$

$$x=\frac{-5}{6},x=\frac{3}{4}$$

From these two solutions of above equation we can clearly tell that 3/5 is greater than -5/6.