(12x^9-16x^3)/4x^5

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Solution for (12x^9-16x^3)/4x^5 equation:


x in (-oo:+oo)

x^5*((12*x^9-(16*x^3))/4) = 0

x^5*((12*x^9-16*x^3)/4) = 0

(x^5*(12*x^9-16*x^3))/4 = 0

12*x^9-16*x^3 = 0

4*x^3*(3*x^6-4) = 0

3*x^6 = 4 // : 3

x^6 = 4/3

x^6 = 4/3 // ^ 1/6

abs(x) = (4/3)^(1/6)

x = (4/3)^(1/6) or x = -(4/3)^(1/6)

4*x^3*(x-(4/3)^(1/6))*(x+(4/3)^(1/6)) = 0

(4*x^3*x^5*(x-(4/3)^(1/6))*(x+(4/3)^(1/6)))/4 = 0

( 4*x^3 )

4*x^3 = 0 // : 4

x^3 = 0

x = 0

( x+(4/3)^(1/6) )

x+(4/3)^(1/6) = 0 // - (4/3)^(1/6)

x = -(4/3)^(1/6)

( x-(4/3)^(1/6) )

x-(4/3)^(1/6) = 0 // + (4/3)^(1/6)

x = (4/3)^(1/6)

( x^5 )

1*x^5 = 0 // : 1

x^5 = 0

x = 0

x in { 0, -(4/3)^(1/6), (4/3)^(1/6), 0 }

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