(1-x)/(6x-1)=-5/6

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Solution for (1-x)/(6x-1)=-5/6 equation: 


D( x )

6*x-1 = 0

6*x-1 = 0

6*x-1 = 0

6*x-1 = 0 // + 1

6*x = 1 // : 6

x = 1/6

x in (-oo:1/6) U (1/6:+oo)

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

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

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

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

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

24*x+1 = 0

(24*x+1)/(6*(6*x-1)) = 0

(24*x+1)/(6*(6*x-1)) = 0 // * 6*(6*x-1)

24*x+1 = 0

24*x+1 = 0 // - 1

24*x = -1 // : 24

x = -1/24

x = -1/24

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