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8x^2+7y^2+3z^2+12xy+4xz-8yz canonical form

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   2      2      2                             
3*z  + 7*y  + 8*x  - 8*y*z + 4*x*z + 12*x*y = 0
$$8 x^{2} + 12 x y + 4 x z + 7 y^{2} - 8 y z + 3 z^{2} = 0$$
8*x^2 + 12*x*y + 4*x*z + 7*y^2 - 8*y*z + 3*z^2 = 0
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