6x-30/x^2-5x

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Solution for 6x-30/x^2-5x 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)

6*x-(5*x)-(30/(x^2)) = 0

6*x-5*x-30*x^-2 = 0

x-30*x^-2 = 0

x*(1-30*x^-3) = 0

-30*x^-3 = -1 // : -30

x^-3 = 1/30

-3 < 0

1/(x^3) = 1/30 // * x^3

1 = 1/30*x^3 // : 1/30

30 = x^3

x^3 = 30 // ^ 1/3

x = 30^(1/3)

x = 0

x = 0

x in { 0}

x = 30^(1/3)

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