12/(2x2)^3=120

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Solution for 12/(2x2)^3=120 equation: 


D( x )

(2*x^2)^3 = 0

(2*x^2)^3 = 0

(2*x^2)^3 = 0

8*x^6 = 0 // : 8

x^6 = 0

x = 0

x in (-oo:0) U (0:+oo)

12/((2*x^2)^3) = 120 // - 120

12/((2*x^2)^3)-120 = 0

3/2*x^-6 = 120 // : 3/2

x^-6 = 80

-6 < 0

1/(x^6) = 80 // * x^6

1 = 80*x^6 // : 80

1/80 = x^6

x^6 = 1/80 // ^ 1/6

abs(x) = (1/80)^(1/6)

x = (1/80)^(1/6) or x = -(1/80)^(1/6)

x in { (1/80)^(1/6), -(1/80)^(1/6) }

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