(4x^2-2x)/(8x^2)

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

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

4*x^2-2*x = 0

2*x*(2*x-1) = 0

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

2*x*(x-1/2) = 0

(2*x*(x-1/2))/(8*x^2) = 0

( 2*x )

2*x = 0 // : 2

x = 0

( x-1/2 )

x-1/2 = 0 // + 1/2

x = 1/2

x in { 0} 

x = 1/2

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