(15y^4-12y^2)/(3y^2)

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Solution for (15y^4-12y^2)/(3y^2) equation: 


D( y )

3*y^2 = 0

3*y^2 = 0

3*y^2 = 0

3*y^2 = 0 // : 3

y^2 = 0

y = 0

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

(15*y^4-(12*y^2))/(3*y^2) = 0

(15*y^4-12*y^2)/(3*y^2) = 0

15*y^4-12*y^2 = 0

3*y^2*(5*y^2-4) = 0

5*y^2 = 4 // : 5

y^2 = 4/5

y^2 = 4/5 // ^ 1/2

abs(y) = (4/5)^(1/2)

y = (4/5)^(1/2) or y = -(4/5)^(1/2)

3*y^2*(y-(4/5)^(1/2))*(y+(4/5)^(1/2)) = 0

(y-(4/5)^(1/2))*(y+(4/5)^(1/2)) = 0

( y+(4/5)^(1/2) )

y+(4/5)^(1/2) = 0 // - (4/5)^(1/2)

y = -(4/5)^(1/2)

( y-(4/5)^(1/2) )

y-(4/5)^(1/2) = 0 // + (4/5)^(1/2)

y = (4/5)^(1/2)

y in { -(4/5)^(1/2), (4/5)^(1/2) }

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