2x-9/3x-21=5/x-7

Solution for 2x-9/3x-21=5/x-7 equation:

D( x )

x = 0

x = 0

x = 0

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

2*x-((9/3)*x)-21 = 5/x-7 // - 5/x-7

2*x-((9/3)*x)-(5/x)-21+7 = 0

2*x-3*x-5*x^-1-21+7 = 0

-1*x^1-5*x^-1-14*x^0 = 0

(-1*x^2-14*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(-1*x^2-14*x^1-5*x^0) = 0

x^1

-x^2-14*x-5 = 0

-x^2-14*x-5 = 0

DELTA = (-14)^2-(-5*(-1)*4)

DELTA = 176

DELTA > 0

x = (176^(1/2)+14)/(-1*2) or x = (14-176^(1/2))/(-1*2)

x = (4*11^(1/2)+14)/(-2) or x = (14-4*11^(1/2))/(-2)

x in { (4*11^(1/2)+14)/(-2), (14-4*11^(1/2))/(-2)} 

x in { (4*11^(1/2)+14)/(-2), (14-4*11^(1/2))/(-2) }