4/(y+2)=10/(5y)

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Solution for 4/(y+2)=10/(5y) equation:


D( y )

y+2 = 0

5*y = 0

y+2 = 0

y+2 = 0

y+2 = 0 // - 2

y = -2

5*y = 0

5*y = 0

5*y = 0 // : 5

y = 0

y in (-oo:-2) U (-2:0) U (0:+oo)

4/(y+2) = 10/(5*y) // - 10/(5*y)

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

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

4/(y+2)-2/y = 0

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

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

2*y-4 = 0

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

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

2*y-4 = 0

2*y-4 = 0 // + 4

2*y = 4 // : 2

y = 4/2

y = 2

y = 2

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