Solve 4th order trial n error method

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niwde
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Hi, anyone can advise how to solve a 4th order equation with trial and error method?

This is the equation:

3s^4 + 10s^3 + 21s^2 + 24s - 16 = 0
 
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I'm kinda new to DE's, but where's the ds/dy?
 
Forget trial and error, use the quartic formula.
 
Yeah, this isn't a differential equation, just an algebraic quartic equation.

I haven't heard of Trial and Error in a while but I think it is something like guessing values for which this equation is true such as c and then dividing the original equation by s-c and repeating this until you have all four roots.