Understand the symmetry

Algebra Level 5

x varies over reals

2x89x7+20x633x5+46x466x3+80x272x+32=02x^{8} - 9x^{7} + 20x^{6} - 33x^{5} + 46x^{4} - 66x^{3} + 80x^{2} - 72x + 32 =0

find the sum of the roots

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