(12x^8-8x^3)/4x^4

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Solution for (12x^8-8x^3)/4x^4 equation: 


x in (-oo:+oo)

x^4*((12*x^8-(8*x^3))/4) = 0

x^4*((12*x^8-8*x^3)/4) = 0

(x^4*(12*x^8-8*x^3))/4 = 0

12*x^8-8*x^3 = 0

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

3*x^5 = 2 // : 3

x^5 = 2/3

x^5 = 2/3 // ^ 1/5

x = (2/3)^(1/5)

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

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

( 4*x^3 )

4*x^3 = 0 // : 4

x^3 = 0

x = 0

( x-(2/3)^(1/5) )

x-(2/3)^(1/5) = 0 // + (2/3)^(1/5)

x = (2/3)^(1/5)

( x^4 )

1*x^4 = 0 // : 1

x^4 = 0

x = 0

x in { 0, (2/3)^(1/5), 0 }

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