Finding the inverse of f(x)=2x³+3x+2

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srfriggen
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Trying to find the inverse of f(x)=2x^3+3x+2

I've written it as x=2y^3+3y+2 and am trying to solve for y, but I can't seem to factor anything out correctly.

Anyone see how this can be solved?
 
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It's a problem I just came up with and tried to solve :/