or you can get the Plaintext version:
jnk = WolframAlpha["x^2==x+1","PodPlaintext",IncludePods->{"Solution"},PodStates->{"Solution__Step-by-step solution"}]
and construct your own JSON from that
Then, how should I proceed?
Why not using Wolfram|Alpha API directly? https://products.wolframalpha.com/api