Find all the solutions to
x+4/x+5 = x-5/2x
The only solution is x = -13/10.
Hint:
\(x+\frac{4}{x}+5=x-\frac{5}{2}x\)
\(\frac{4}{x}+\frac{5}{2}x=-5\)
Hint: Cross multiply, expand, then solve the quadratic
