+238 Multiply the left side by x+2/x+2 to get, \(x=\frac{x+2}{2x+5} \). Multiply both sides by 2x+5,
\(2x^2+5x= x + 2 \)
Subtract x+2 on both sides
\(2x^2+4x-2= 0 \)
Use the quadratic formula to find solutions of, \(x = -1 + \sqrt{2}, -1 - \sqrt{2}\)
We want the positive solution, which is \(-1 + \sqrt{2}\)
