(4y-8y^2)/(10y-5)

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Solution for (4y-8y^2)/(10y-5) equation: 


D( y )

10*y-5 = 0

10*y-5 = 0

10*y-5 = 0

10*y-5 = 0 // + 5

10*y = 5 // : 10

y = 5/10

y = 1/2

y in (-oo:1/2) U (1/2:+oo)

(4*y-(8*y^2))/(10*y-5) = 0

(4*y-8*y^2)/(10*y-5) = 0

4*y-8*y^2 = 0

4*y*(1-2*y) = 0

1-2*y = 0 // - 1

-2*y = -1 // : -2

y = -1/(-2)

y = 1/2

4*y*(y-1/2) = 0

(4*y*(y-1/2))/(10*y-5) = 0

( 4*y )

4*y = 0 // : 4

y = 0

( y-1/2 )

y-1/2 = 0 // + 1/2

y = 1/2

y in { 1/2} 

y = 0

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