L/L = 1 so what you have is:
1+1 =.572 L Divide both sides by .572
2/.572 = L
2/.572 = 3.4965034965034965 = L
That DID seem awful simple...I wonder if you meant L/(L+1) = .572 L
L = .572L^2 +.572L
0 = .572L^2 - .428L = L(.572L - .428) would mean L = 0 or .572L-.428= 0
L = 0 or .428/.572 (which is 107/143 )