#1**+2 **

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 \(-1 + \sqrt{2}\)

Awesomeguy Jun 28, 2021