(x/3-2x)2=8

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Solution for (x/3-2x)2=8 equation: 


x in (-oo:+oo)

(x/3-(2*x))^2 = 8 // - 8

(x/3-(2*x))^2-8 = 0

(x/3-2*x)^2-8 = 0

(25*x^2)/9-8 = 0

(25*x^2)/9+(-8*9)/9 = 0

25*x^2-8*9 = 0

25*x^2-72 = 0

(25*x^2-72)/9 = 0

(25*x^2-72)/9 = 0 // * 9

25*x^2-72 = 0

25*x^2 = 72 // : 25

x^2 = 72/25

x^2 = 72/25 // ^ 1/2

abs(x) = (72/25)^(1/2)

x = (72/25)^(1/2) or x = -(72/25)^(1/2)

x in { (72/25)^(1/2), -(72/25)^(1/2) }

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