(10x^6)+(8x^4)/(2x^2)

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Solution for (10x^6)+(8x^4)/(2x^2) equation: 


D( x )

2*x^2 = 0

2*x^2 = 0

2*x^2 = 0

2*x^2 = 0 // : 2

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

10*x^6+(8*x^4)/(2*x^2) = 0

10*x^6+4*x^2 = 0

t_1 = x^2

10*t_1^3+4*t_1^1 = 0

10*t_1^3+4*t_1 = 0

2*t_1*(5*t_1^2+2) = 0

5*t_1^2 = -2 // : 5

t_1^2 = -2/5

2*t_1 = 0

2*t_1 = 0 // : 2

t_1 = 0

t_1 = 0

x^2+0 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { 0} 

x belongs to the empty set

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