3y/(10y-30)+5y/(6y-18)

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Solution for 3y/(10y-30)+5y/(6y-18) equation:


D( y )

6*y-18 = 0

10*y-30 = 0

6*y-18 = 0

6*y-18 = 0

6*y-18 = 0 // + 18

6*y = 18 // : 6

y = 18/6

y = 3

10*y-30 = 0

10*y-30 = 0

10*y-30 = 0 // + 30

10*y = 30 // : 10

y = 30/10

y = 3

y in (-oo:3) U (3:+oo)

(3*y)/(10*y-30)+(5*y)/(6*y-18) = 0

(3*y*(6*y-18))/((10*y-30)*(6*y-18))+(5*y*(10*y-30))/((10*y-30)*(6*y-18)) = 0

3*y*(6*y-18)+5*y*(10*y-30) = 0

68*y^2-204*y = 0

68*y^2-204*y = 0

68*y*(y-3) = 0

y-3 = 0 // + 3

y = 3

68*y*(y-3) = 0

(68*y*(y-3))/((10*y-30)*(6*y-18)) = 0

(68*y*(y-3))/((10*y-30)*(6*y-18)) = 0 // * (10*y-30)*(6*y-18)

68*y*(y-3) = 0

( 68*y )

68*y = 0 // : 68

y = 0

( y-3 )

y-3 = 0 // + 3

y = 3

y in { 3}

y = 0

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