7/3x-6/x=-5

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Solution for 7/3x-6/x=-5 equation: 


D( x )

x = 0

x = 0

x = 0

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

(7/3)*x-(6/x) = -5 // + 5

(7/3)*x-(6/x)+5 = 0

(7/3)*x-6*x^-1+5 = 0

7/3*x^1-6*x^-1+5*x^0 = 0

(7/3*x^2+5*x^1-6*x^0)/(x^1) = 0 // * x^2

x^1*(7/3*x^2+5*x^1-6*x^0) = 0

x^1

(7/3)*x^2+5*x-6 = 0

(7/3)*x^2+5*x-6 = 0

DELTA = 5^2-(-6*4*(7/3))

DELTA = 81

DELTA > 0

x = (81^(1/2)-5)/(2*(7/3)) or x = (-81^(1/2)-5)/(2*(7/3))

x = 6/7 or x = -3

x in { -3, 6/7} 

x in { -3, 6/7 }

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