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c in (-oo:+oo)
((5*c^2)/4)*c^7 = 5*c // - 5*c
((5*c^2)/4)*c^7-(5*c) = 0
((5*c^2)/4)*c^7-5*c = 0
5/4*c^9-5*c = 0
5*c*(1/4*c^8-1) = 0
1/4*c^8 = 1 // : 1/4
c^8 = 4
c^8 = 4 // ^ 1/8
abs(c) = 4^(1/8)
c = 4^(1/8) or c = -4^(1/8)
5*c = 0
5*c = 0 // : 5
c = 0
c in { 4^(1/8), -4^(1/8), 0 }
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