((3y)/(y+3))/((6)/(y+3))=4

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Solution for ((3y)/(y+3))/((6)/(y+3))=4 equation:


D( y )

y+3 = 0

6/(y+3) = 0

y+3 = 0

y+3 = 0

y+3 = 0 // - 3

y = -3

6/(y+3) = 0

6/(y+3) = 0

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

((3*y)/(y+3))/(6/(y+3)) = 4 // - 4

((3*y)/(y+3))/(6/(y+3))-4 = 0

(3*y*(y+3))/(6*(y+3))-4 = 0

(3*y*(y+3))/(6*(y+3))+(-4*6*(y+3))/(6*(y+3)) = 0

3*y*(y+3)-4*6*(y+3) = 0

3*y^2-15*y-72 = 0

3*y^2-15*y-72 = 0

3*(y^2-5*y-24) = 0

y^2-5*y-24 = 0

DELTA = (-5)^2-(-24*1*4)

DELTA = 121

DELTA > 0

y = (121^(1/2)+5)/(1*2) or y = (5-121^(1/2))/(1*2)

y = 8 or y = -3

3*(y+3)*(y-8) = 0

(3*(y+3)*(y-8))/(6*(y+3)) = 0

(3*(y+3)*(y-8))/(6*(y+3)) = 0 // * 6*(y+3)

3*(y+3)*(y-8) = 0

( y+3 )

y+3 = 0 // - 3

y = -3

( y-8 )

y-8 = 0 // + 8

y = 8

y in { -3}

y = 8

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