(36x64-24x^3)/4x^2

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Solution for (36x64-24x^3)/4x^2 equation:


x in (-oo:+oo)

x^2*((36*x^64-(24*x^3))/4) = 0

x^2*((36*x^64-24*x^3)/4) = 0

(x^2*(36*x^64-24*x^3))/4 = 0

36*x^64-24*x^3 = 0

12*x^3*(3*x^61-2) = 0

3*x^61 = 2 // : 3

x^61 = 2/3

x^61 = 2/3 // ^ 1/61

x = (2/3)^(1/61)

12*x^3*(x-(2/3)^(1/61)) = 0

(12*x^2*x^3*(x-(2/3)^(1/61)))/4 = 0

( 12*x^3 )

12*x^3 = 0 // : 12

x^3 = 0

x = 0

( x-(2/3)^(1/61) )

x-(2/3)^(1/61) = 0 // + (2/3)^(1/61)

x = (2/3)^(1/61)

( x^2 )

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { 0, (2/3)^(1/61), 0 }

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