((y^3+343)/(y^2-49))*((y-7)/(4y))

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Solution for ((y^3+343)/(y^2-49))*((y-7)/(4y)) equation: 


D( y )

y^2-49 = 0

4*y = 0

y^2-49 = 0

y^2-49 = 0

1*y^2 = 49 // : 1

y^2 = 49

y^2 = 49 // ^ 1/2

abs(y) = 7

y = 7 or y = -7

4*y = 0

4*y = 0

4*y = 0 // : 4

y = 0

y in (-oo:-7) U (-7:0) U (0:7) U (7:+oo)

((y^3+343)/(y^2-49))*((y-7)/(4*y)) = 0

((y^3+343)*(y-7))/(4*y*(y^2-49)) = 0

( y-7 )

y-7 = 0 // + 7

y = 7

( y^3+343 )

1*y^3 = -343 // : 1

y^3 = -343

y^3 = -343 // ^ 1/3

y = -7

y in { 7} 

y in { -7} 

y belongs to the empty set

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