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x in (-oo:+oo)
(2*x^5)/2+(5*x^3)/2 = (7*x^1)/2 // - (7*x^1)/2
(2*x^5)/2+(5*x^3)/2-((7*x^1)/2) = 0
(2*x^5)/2+(5*x^3)/2+(-7/2)*x = 0
x^5+5/2*x^3-7/2*x = 0
x*(x^4+5/2*x^2-7/2) = 0
x^4+(5/2)*x^2-7/2 = 0
x^4+(5/2)*x^2-7/2 = 0 // * 0
{ 1, -1, 7, -7 }
1
x = 1
2*x^4+5*x^2-7 = 0
1
x-1
2*x^3+2*x^2+7*x+7
2*x^4+5*x^2-7
x-1
2*x^3-2*x^4
2*x^3+5*x^2-7
2*x^2-2*x^3
7*x^2-7
7*x-7*x^2
7*x-7
7-7*x
0
2*x^3+2*x^2+7*x+7 = 0
{ 1, -1, 7, -7 }
1
x = 1
2*x^3+2*x^2+7*x+7 = 18
1
-1
x = -1
2*x^3+2*x^2+7*x+7 = 0
-1
x+1
2*x^2+7
2*x^3+2*x^2+7*x+7
x+1
-2*x^3-2*x^2
7*x+7
-7*x-7
0
2*x^2+7 = 0
DELTA = 0^2-(2*4*7)
DELTA = -56
DELTA < 0
x in { 1, -1}
x = 0
x = 0
x in { 1, -1, 0 }
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