(12x^7-27x^5)/3x^3

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Solution for (12x^7-27x^5)/3x^3 equation: 


x in (-oo:+oo)

x^3*((12*x^7-(27*x^5))/3) = 0

x^3*((12*x^7-27*x^5)/3) = 0

(x^3*(12*x^7-27*x^5))/3 = 0

12*x^7-27*x^5 = 0

3*x^5*(4*x^2-9) = 0

4*x^2 = 9 // : 4

x^2 = 9/4

x^2 = 9/4 // ^ 1/2

abs(x) = 3/2

x = 3/2 or x = -3/2

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

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

( 3*x^5 )

3*x^5 = 0 // : 3

x^5 = 0

x = 0

( x+3/2 )

x+3/2 = 0 // - 3/2

x = -3/2

( x-3/2 )

x-3/2 = 0 // + 3/2

x = 3/2

( x^3 )

1*x^3 = 0 // : 1

x^3 = 0

x = 0

x in { 0, -3/2, 3/2, 0 }

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