(36y^7-24y^5)/4y^3

Solution for (36y^7-24y^5)/4y^3 equation:

y in (-oo:+oo)

y^3*((36*y^7-(24*y^5))/4) = 0

y^3*((36*y^7-24*y^5)/4) = 0

(y^3*(36*y^7-24*y^5))/4 = 0

36*y^7-24*y^5 = 0

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

3*y^2 = 2 // : 3

y^2 = 2/3

y^2 = 2/3 // ^ 1/2

abs(y) = (2/3)^(1/2)

y = (2/3)^(1/2) or y = -(2/3)^(1/2)

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

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

( 12*y^5 )

12*y^5 = 0 // : 12

y^5 = 0

y = 0

( y+(2/3)^(1/2) )

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

y = -(2/3)^(1/2)

( y-(2/3)^(1/2) )

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

y = (2/3)^(1/2)

( y^3 )

1*y^3 = 0 // : 1

y^3 = 0

y = 0

y in { 0, -(2/3)^(1/2), (2/3)^(1/2), 0 }