9(3-x)=14/x

Solution for 9(3-x)=14/x equation:

D( x )

x = 0

x = 0

x = 0

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

9*(3-x) = 14/x // - 14/x

9*(3-x)-(14/x) = 0

9*(3-x)-14*x^-1 = 0

9*(3-x)-14/x = 0

(9*x*(3-x))/x-14/x = 0

9*x*(3-x)-14 = 0

27*x-9*x^2-14 = 0

27*x-9*x^2-14 = 0

27*x-9*x^2-14 = 0

DELTA = 27^2-(-14*(-9)*4)

DELTA = 225

DELTA > 0

x = (225^(1/2)-27)/(-9*2) or x = (-225^(1/2)-27)/(-9*2)

x = 2/3 or x = 7/3

(x-2/3)*(x-7/3) = 0

((x-2/3)*(x-7/3))/x = 0

((x-2/3)*(x-7/3))/x = 0 // * x

(x-2/3)*(x-7/3) = 0

( x-2/3 )

x-2/3 = 0 // + 2/3

x = 2/3

( x-7/3 )

x-7/3 = 0 // + 7/3

x = 7/3

x in { 2/3, 7/3 }