x+7/3=5/x-7

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


D( x )

x = 0

x = 0

x = 0

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

x+7/3 = 5/x-7 // - 5/x-7

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

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

1*x^1-5*x^-1+28/3*x^0 = 0

(1*x^2+28/3*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+28/3*x^1-5*x^0) = 0

x^1

x^2+(28/3)*x-5 = 0

x^2+(28/3)*x-5 = 0

DELTA = (28/3)^2-(-5*1*4)

DELTA = 964/9

DELTA > 0

x = ((964/9)^(1/2)-(28/3))/(1*2) or x = (-(28/3)-(964/9)^(1/2))/(1*2)

x = ((964/9)^(1/2)-28/3)/2 or x = (-((964/9)^(1/2)+28/3))/2

x in { (-((964/9)^(1/2)+28/3))/2, ((964/9)^(1/2)-28/3)/2} 

x in { (-((964/9)^(1/2)+28/3))/2, ((964/9)^(1/2)-28/3)/2 }

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