2x^-2/3=32

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Solution for 2x^-2/3=32 equation: 


D( x )

x = 0

x = 0

x = 0

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

(2*x^-2)/3 = 32 // - 32

(2*x^-2)/3-32 = 0

2/3*x^-2 = 32 // : 2/3

x^-2 = 48

-2 < 0

1/(x^2) = 48 // * x^2

1 = 48*x^2 // : 48

1/48 = x^2

x^2 = 1/48 // ^ 1/2

abs(x) = (1/48)^(1/2)

x = (1/48)^(1/2) or x = -(1/48)^(1/2)

x in { (1/48)^(1/2), -(1/48)^(1/2) }

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