((4x)(x^2-5))/(-8x^2)=0

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Solution for ((4x)(x^2-5))/(-8x^2)=0 equation: 


D( x )

-8*x^2 = 0

-8*x^2 = 0

-8*x^2 = 0

-8*x^2 = 0 // : -8

x^2 = 0

x = 0

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

(4*x*(x^2-5))/(-8*x^2) = 0

( 4*x )

4*x = 0 // : 4

x = 0

( x^2-5 )

1*x^2 = 5 // : 1

x^2 = 5

x^2 = 5 // ^ 1/2

abs(x) = 5^(1/2)

x = 5^(1/2) or x = -5^(1/2)

x in { 0} 

x in { 5^(1/2), -5^(1/2) }

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