(2x-1)/(7x)=7/6-3/x

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Solution for (2x-1)/(7x)=7/6-3/x equation:


D( x )

x = 0

7*x = 0

x = 0

x = 0

7*x = 0

7*x = 0

7*x = 0 // : 7

x = 0

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

(2*x-1)/(7*x) = 7/6-(3/x) // - 7/6-(3/x)

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

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

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

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

12*x^2-49*x^2+120*x = 0

120*x-37*x^2 = 0

120*x-37*x^2 = 0

x*(120-37*x) = 0

120-37*x = 0 // - 120

-37*x = -120 // : -37

x = -120/(-37)

x = 120/37

x*(x-120/37) = 0

(x*(x-120/37))/(6*7*x*x) = 0

(x*(x-120/37))/(6*7*x*x) = 0 // * 6*7*x*x

x*(x-120/37) = 0

( x-120/37 )

x-120/37 = 0 // + 120/37

x = 120/37

( x )

x = 0

x in { 0}

x = 120/37

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