Sum of the Roots

Algebra Level 3

The polynomial y=3x64x43x2+2y=3x^6-4x^4-3x^2+2 intercepts the coordinate axis in five places:

(a,0) (b,0) (c,0) (d,0) and (0,e)

What is the value of a+b+c+d+ea+b+c+d+e?

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