3/x-6x=7

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Solution for 3/x-6x=7 equation: 


D( x )

x = 0

x = 0

x = 0

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

3/x-(6*x) = 7 // - 7

3/x-(6*x)-7 = 0

3/x-6*x-7 = 0

3*x^-1-6*x^1-7*x^0 = 0

(3*x^0-6*x^2-7*x^1)/(x^1) = 0 // * x^2

x^1*(3*x^0-6*x^2-7*x^1) = 0

x^1

3-6*x^2-7*x = 0

3-6*x^2-7*x = 0

DELTA = (-7)^2-(-6*3*4)

DELTA = 121

DELTA > 0

x = (121^(1/2)+7)/(-6*2) or x = (7-121^(1/2))/(-6*2)

x = -3/2 or x = 1/3

x in { -3/2, 1/3} 

x in { -3/2, 1/3 }

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