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I am designating @Scroogey as the winner for this bounty with a -200 sats (for admitting to use a solver lol, although that does not give away the answer).
He showed the right steps and right equations (check second pinned comment)!

Here is another simpler walkthrough by me though (simple factorization)
or using Ferrari's method for quartic polynomials:
oh, i was gonna give it a go, but oh well haha
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you still can, and I'll still give sats if you do it other than the 3 ways already done :) and this is not the last one, I'll be posting plenty....
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