Assuming the problem is 1/2+2/(5*x)=x-3/4
multiply both sides by x
x/2+2/5=x^2-3*x/4 collecting like terms x^2-5*x/4-2/5=0............(1)
solving the quadratic
x=5/8+sqrt(25/64+2/5) and x=5/8-sqrt(25/64+2/5)
solution gives x=1.********** and x=-0.**********
when these values are substituted into equation (1) in turn both result in zero.
If the problem is x/2-2*x/5=x-3/4 it is linear equation resulting in x=25/12
