(y^2-16)/(2y)*(5y)/(y-4)

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Solution for (y^2-16)/(2y)*(5y)/(y-4) equation: 


D( y )

2*y = 0

y-4 = 0

2*y = 0

2*y = 0

2*y = 0 // : 2

y = 0

y-4 = 0

y-4 = 0

y-4 = 0 // + 4

y = 4

y in (-oo:0) U (0:4) U (4:+oo)

(5*y*((y^2-16)/(2*y)))/(y-4) = 0

(5*y*(y^2-16))/(2*y*(y-4)) = 0

( 5*y )

5*y = 0 // : 5

y = 0

( y^2-16 )

1*y^2 = 16 // : 1

y^2 = 16

y^2 = 16 // ^ 1/2

abs(y) = 4

y = 4 or y = -4

y in { 0} 

y in { 4} 

y = -4

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