You are welcome. You will find several methods in that book,
]]>Welcome to the forum.
There are Descartes' and Ferrari's solutions for the general quartic but they are both difficult. There are no algebraic solutions for the general quintic or higher.
Download "First Course in the the Theory of Equations." It is free!
http://www.gutenberg.org/ebooks/29785
Down the page are the links.
Starting at page 56 of that book you will find everything you need.
If you need help with the examples he provides just post here.
]]>And now I'm able to do all kinds of crazy algebra in my head.
Just take small steps at a time.
2 + ? = 6
What does the "?" equal?
Then I go on to say that it is better to put an "x" instead:
2 + x = 6
What does the "x" equal?
Plus, I have a very useful ability to understand things quickly.
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