5/x=(x+13)/6

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Solution for 5/x=(x+13)/6 equation: 


D( x )

x = 0

x = 0

x = 0

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

5/x = (x+13)/6 // - (x+13)/6

5/x-((x+13)/6) = 0

(-1*(x+13))/6+5/x = 0

(-1*x*(x+13))/(6*x)+(5*6)/(6*x) = 0

5*6-1*x*(x+13) = 0

30-x^2-13*x = 0

30-x^2-13*x = 0

30-x^2-13*x = 0

DELTA = (-13)^2-(-1*4*30)

DELTA = 289

DELTA > 0

x = (289^(1/2)+13)/(-1*2) or x = (13-289^(1/2))/(-1*2)

x = -15 or x = 2

(x+15)*(x-2) = 0

((x+15)*(x-2))/(6*x) = 0

((x+15)*(x-2))/(6*x) = 0 // * 6*x

(x+15)*(x-2) = 0

( x+15 )

x+15 = 0 // - 15

x = -15

( x-2 )

x-2 = 0 // + 2

x = 2

x in { -15, 2 }

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