a = 0.1; 
h = 0.25; 
Plot[{x - x^2,  h*x/(x + a)},  {x, 0, 
        1.5}]
NSolve[x - x^2 == h*x/(x + a),  x]
Plot[{x - x^2 - (h*x/(x + a))},  {x, - .2, 1}]