(8x^3)/(x^5)=512

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Solution for (8x^3)/(x^5)=512 equation: 


D( x )

x^5 = 0

x^5 = 0

x^5 = 0

1*x^5 = 0 // : 1

x^5 = 0

x = 0

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

(8*x^3)/(x^5) = 512 // - 512

(8*x^3)/(x^5)-512 = 0

8*x^-2 = 512 // : 8

x^-2 = 64

-2 < 0

1/(x^2) = 64 // * x^2

1 = 64*x^2 // : 64

1/64 = x^2

x^2 = 1/64 // ^ 1/2

abs(x) = 1/8

x = 1/8 or x = -1/8

x in { 1/8, -1/8 }

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