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(5*x^5)/2+(2*x^3)/2 = (7*x^1)/2 // - (7*x^1)/2
(5*x^5)/2+(2*x^3)/2-((7*x^1)/2) = 0
(5*x^5)/2+(2*x^3)/2+(-7/2)*x = 0
5/2*x^5+x^3-7/2*x = 0
x*(5/2*x^4+x^2-7/2) = 0
(5/2)*x^4+x^2-7/2 = 0
(5/2)*x^4+x^2-7/2 = 0 // * 0
{ 1, -1, 7, -7 }
1
x = 1
5*x^4+2*x^2-7 = 0
1
x-1
5*x^3+5*x^2+7*x+7
5*x^4+2*x^2-7
x-1
5*x^3-5*x^4
5*x^3+2*x^2-7
5*x^2-5*x^3
7*x^2-7
7*x-7*x^2
7*x-7
7-7*x
0
5*x^3+5*x^2+7*x+7 = 0
{ 1, -1, 7, -7 }
1
x = 1
5*x^3+5*x^2+7*x+7 = 24
1
-1
x = -1
5*x^3+5*x^2+7*x+7 = 0
-1
x+1
5*x^2+7
5*x^3+5*x^2+7*x+7
x+1
-5*x^3-5*x^2
7*x+7
-7*x-7
0
5*x^2+7 = 0
DELTA = 0^2-(4*5*7)
DELTA = -140
DELTA < 0
x in { 1, -1}
x = 0
x = 0
x in { 1, -1, 0 }
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