(12x^9-16x63)/4x^5

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Solution for (12x^9-16x63)/4x^5 equation:


x in (-oo:+oo)

x^5*((12*x^9-(16*x^63))/4) = 0

x^5*((12*x^9-16*x^63)/4) = 0

(x^5*(12*x^9-16*x^63))/4 = 0

12*x^9-16*x^63 = 0

4*x^9*(3-4*x^54) = 0

-4*x^54 = -3 // : -4

x^54 = 3/4

x^54 = 3/4 // ^ 1/54

abs(x) = (3/4)^(1/54)

x = (3/4)^(1/54) or x = -(3/4)^(1/54)

4*x^9*(x-(3/4)^(1/54))*(x+(3/4)^(1/54)) = 0

(4*x^5*x^9*(x-(3/4)^(1/54))*(x+(3/4)^(1/54)))/4 = 0

( 4*x^9 )

4*x^9 = 0 // : 4

x^9 = 0

x = 0

( x+(3/4)^(1/54) )

x+(3/4)^(1/54) = 0 // - (3/4)^(1/54)

x = -(3/4)^(1/54)

( x-(3/4)^(1/54) )

x-(3/4)^(1/54) = 0 // + (3/4)^(1/54)

x = (3/4)^(1/54)

( x^5 )

1*x^5 = 0 // : 1

x^5 = 0

x = 0

x in { 0, -(3/4)^(1/54), (3/4)^(1/54), 0 }

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