(8x-10x^2)/x^2

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Solution for (8x-10x^2)/x^2 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)

(8*x-(10*x^2))/(x^2) = 0

(8*x-10*x^2)/(x^2) = 0

8*x-10*x^2 = 0

2*x*(4-5*x) = 0

4-5*x = 0 // - 4

-5*x = -4 // : -5

x = -4/(-5)

x = 4/5

2*x*(x-4/5) = 0

(2*x*(x-4/5))/(x^2) = 0

( 2*x )

2*x = 0 // : 2

x = 0

( x-4/5 )

x-4/5 = 0 // + 4/5

x = 4/5

x in { 0} 

x = 4/5

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