1/5x+2/5=3600/5x3

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Solution for 1/5x+2/5=3600/5x3 equation: 


x in (-oo:+oo)

(1/5)*x+2/5 = (3600/5)*x^3 // - (3600/5)*x^3

(1/5)*x-((3600/5)*x^3)+2/5 = 0

(1/5)*x-720*x^3+2/5 = 0

(1/5)*x-720*x^3+2/5 = 0

(1/5)*x-720*x^3+2/5 = 0 // * 0

{ 1, -1, 2, -2 }

1

x = 1

x-3600*x^3+2 = -3597

1

-1

x = -1

x-3600*x^3+2 = 3601

-1

2

x = 2

x-3600*x^3+2 = -28796

2

-2

x = -2

x-3600*x^3+2 = 28800

-2

{ 1/2, -1/2, 1/3, -1/3, 1/4, -1/4, 1/5, -1/5, 1/6, -1/6, 1/8, -1/8, 1/9, -1/9, 1/10, -1/10, 1/12, -1/12, 1/15, -1/15, 1/16, -1/16, 1/18, -1/18, 1/20, -1/20, 1/24, -1/24, 1/25, -1/25, 1/30, -1/30, 1/36, -1/36, 1/40, -1/40, 1/45, -1/45, 1/48, -1/48, 1/50, -1/50, 1/60, -1/60, 1/72, -1/72, 1/75, -1/75, 1/80, -1/80, 1/90, -1/90, 1/100, -1/100, 1/120, -1/120, 1/144, -1/144, 1/150, -1/150, 1/180, -1/180, 1/200, -1/200, 1/225, -1/225, 1/240, -1/240, 1/300, -1/300, 1/360, -1/360, 1/400, -1/400, 1/450, -1/450, 1/600, -1/600, 1/720, -1/720, 1/900, -1/900, 1/1200, -1/1200, 1/1800, -1/1800, 1/3600, -1/3600, -1/2, 1/2, -1/3, 1/3, -1/4, 1/4, -1/5, 1/5, -1/6, 1/6, -1/8, 1/8, -1/9, 1/9, -1/10, 1/10, -1/12, 1/12, -1/15, 1/15, -1/16, 1/16, -1/18, 1/18, -1/20, 1/20, -1/24, 1/24, -1/25, 1/25, -1/30, 1/30, -1/36, 1/36, -1/40, 1/40, -1/45, 1/45, -1/48, 1/48, -1/50, 1/50, -1/60, 1/60, -1/72, 1/72, -1/75, 1/75, -1/80, 1/80, -1/90, 1/90, -1/100, 1/100, -1/120, 1/120, -1/144, 1/144, -1/150, 1/150, -1/180, 1/180, -1/200, 1/200, -1/225, 1/225, -1/240, 1/240, -1/300, 1/300, -1/360, 1/360, -1/400, 1/400, -1/450, 1/450, -1/600, 1/600, -1/720, 1/720, -1/900, 1/900, -1/1200, 1/1200, -1/1800, 1/1800, -1/3600, 1/3600, 2/2, -2/2, 2/3, -2/3, 2/4, -2/4, 2/5, -2/5, 2/6, -2/6, 2/8, -2/8, 2/9, -2/9, 2/10, -2/10, 2/12, -2/12, 2/15, -2/15, 2/16, -2/16, 2/18, -2/18, 2/20, -2/20, 2/24, -2/24, 2/25, -2/25, 2/30, -2/30, 2/36, -2/36, 2/40, -2/40, 2/45, -2/45, 2/48, -2/48, 2/50, -2/50, 2/60, -2/60, 2/72, -2/72, 2/75, -2/75, 2/80, -2/80, 2/90, -2/90, 2/100, -2/100, 2/120, -2/120, 2/144, -2/144, 2/150, -2/150, 2/180, -2/180, 2/200, -2/200, 2/225, -2/225, 2/240, -2/240, 2/300, -2/300, 2/360, -2/360, 2/400, -2/400, 2/450, -2/450, 2/600, -2/600, 2/720, -2/720, 2/900, -2/900, 2/1200, -2/1200, 2/1800, -2/1800, 2/3600, -2/3600, -2/2, 2/2, -2/3, 2/3, -2/4, 2/4, -2/5, 2/5, -2/6, 2/6, -2/8, 2/8, -2/9, 2/9, -2/10, 2/10, -2/12, 2/12, -2/15, 2/15, -2/16, 2/16, -2/18, 2/18, -2/20, 2/20, -2/24, 2/24, -2/25, 2/25, -2/30, 2/30, -2/36, 2/36, -2/40, 2/40, -2/45, 2/45, -2/48, 2/48, -2/50, 2/50, -2/60, 2/60, -2/72, 2/72, -2/75, 2/75, -2/80, 2/80, -2/90, 2/90, -2/100, 2/100, -2/120, 2/120, -2/144, 2/144, -2/150, 2/150, -2/180, 2/180, -2/200, 2/200, -2/225, 2/225, -2/240, 2/240, -2/300, 2/300, -2/360, 2/360, -2/400, 2/400, -2/450, 2/450, -2/600, 2/600, -2/720, 2/720, -2/900, 2/900, -2/1200, 2/1200, -2/1800, 2/1800, -2/3600, 2/3600 }

1/2

x

1/2

x-3600*x^3+2 = -447.5

1/2

-1/2

x

-1/2

x-3600*x^3+2 = 451.5

-1/2

1/3

x

1/3

x-3600*x^3+2 = -131

1/3

-1/3

x

-1/3

x-3600*x^3+2 = 135

-1/3

1/4

x

1/4

x-3600*x^3+2 = -54

1/4

-1/4

x

-1/4

x-3600*x^3+2 = 58

-1/4

1/5

x

1/5

x-3600*x^3+2 = -26.6

1/5

-1/5

x

-1/5

x-3600*x^3+2 = 30.6

-1/5

1/6

x

1/6

x-3600*x^3+2 = -14.5

1/6

-1/6

x

-1/6

x-3600*x^3+2 = 18.5

-1/6

1/8

x

1/8

x-3600*x^3+2 = -4.90625

1/8

-1/8

x

-1/8

x-3600*x^3+2 = 8.90625

-1/8

1/9

x

1/9

x-3600*x^3+2 = -2.82716049

1/9

-1/9

x

-1/9

x-3600*x^3+2 = 6.82716049

-1/9

1/10

x

1/10

x-3600*x^3+2 = -1.5

1/10

-1/10

x

-1/10

x-3600*x^3+2 = 5.5

-1/10

1/12

x

1/12

x-3600*x^3+2 = 0

1/12

x-1/12

-3600*x^2-300*x-24

x-3600*x^3+2

x-1/12

3600*x^3-300*x^2

x-300*x^2+2

300*x^2-25*x

2-24*x

24*x-2

0

-3600*x^2-300*x-24 = 0

DELTA = (-300)^2-(-3600*(-24)*4)

DELTA = -255600

DELTA < 0

x in { 1/12} 

x = 1/12

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