(36y^6-24y^3)/4y^3

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Solution for (36y^6-24y^3)/4y^3 equation:


y in (-oo:+oo)

y^3*((36*y^6-(24*y^3))/4) = 0

y^3*((36*y^6-24*y^3)/4) = 0

(y^3*(36*y^6-24*y^3))/4 = 0

36*y^6-24*y^3 = 0

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

3*y^3 = 2 // : 3

y^3 = 2/3

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

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

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

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

( 12*y^3 )

12*y^3 = 0 // : 12

y^3 = 0

y = 0

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

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

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

( y^3 )

1*y^3 = 0 // : 1

y^3 = 0

y = 0

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

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