49^-3x=7/x^2

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Solution for 49^-3x=7/x^2 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

49^-3*x = 7/(x^2) // - 7/(x^2)

49^-3*x-(7/(x^2)) = 0

49^-3*x-7*x^-2 = 0

1/117649*x-7*x^-2 = 0

x*(1/117649-7*x^-3) = 0

-7*x^-3 = -1/117649 // : -7

x^-3 = 1/823543

-3 < 0

1/(x^3) = 1/823543 // * x^3

1 = 1/823543*x^3 // : 1/823543

823543 = x^3

x^3 = 823543 // ^ 1/3

x = 49*7^(1/3)

x = 0

x = 0

x in { 0} 

x = 49*7^(1/3)

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