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

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


D( x )

x = 0

2*x = 0

x-1 = 0

x = 0

x = 0

2*x = 0

2*x = 0

2*x = 0 // : 2

x = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:0) U (0:1) U (1:+oo)

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

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

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

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

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

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

8*x^2-7*x^2-12*x+7*x = 0

x^2-5*x = 0

x^2-5*x = 0

x*(x-5) = 0

x-5 = 0 // + 5

x = 5

x*(x-5) = 0

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

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

x*(x-5) = 0

( x-5 )

x-5 = 0 // + 5

x = 5

( x )

x = 0

x in { 0}

x = 5

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