12800/x^2=2x

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Solution for 12800/x^2=2x equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

12800/(x^2) = 2*x // - 2*x

12800/(x^2)-(2*x) = 0

12800/(x^2)-2*x = 0

12800*x^-2-2*x = 0

2*x*(6400*x^-3-1) = 0

6400*x^-3 = 1 // : 6400

x^-3 = 1/6400

-3 < 0

1/(x^3) = 1/6400 // * x^3

1 = 1/6400*x^3 // : 1/6400

6400 = x^3

x^3 = 6400 // ^ 1/3

x = 4*100^(1/3)

2*x = 0

2*x = 0 // : 2

x = 0

x in { 0} 

x = 4*100^(1/3)

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