(5x^2-3x-2)/(5x^2+2x)= (5*(x-1)*(x+0,4))/(x(5x+2)) = ((x-1)*(5x+2))/(x(5x+2)) = (x-1)/x

5x²-3x-2       (5x+2)(x-1)        x-1

----------- = ----------------- = -------

  5x²+2x        x(5x+2)               x

5x²-3x-2

Δ=9-4*5*(-2)=49

√Δ=7

x1=(3-7)/10=-2/5

x2=1

5(x+2/5)(x-1)=(5x+2)(x-1)