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−4x1^2−25x2^2−2x3^3−11x4^2+20x1x2+4x1x3−6x1x4−10x2x3+16x2x4+2x3x4 canonical form

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The solution

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       2        2       2       3                                                                   
- 25*x2  - 11*x4  - 4*x1  - 2*x3  - 10*x2*x3 - 6*x1*x4 + 2*x3*x4 + 4*x1*x3 + 16*x2*x4 + 20*x1*x2 = 0
$$- 4 x_{1}^{2} + 20 x_{1} x_{2} + 4 x_{1} x_{3} - 6 x_{1} x_{4} - 25 x_{2}^{2} - 10 x_{2} x_{3} + 16 x_{2} x_{4} - 2 x_{3}^{3} + 2 x_{3} x_{4} - 11 x_{4}^{2} = 0$$
-4*x1^2 + 20*x1*x2 + 4*x1*x3 - 6*x1*x4 - 25*x2^2 - 10*x2*x3 + 16*x2*x4 - 2*x3^3 + 2*x3*x4 - 11*x4^2 = 0