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

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

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

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

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

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

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

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

6*x-2*x^2-7*x^2+7*x = 0

13*x-9*x^2 = 0

13*x-9*x^2 = 0

x*(13-9*x) = 0

13-9*x = 0 // - 13

-9*x = -13 // : -9

x = -13/(-9)

x = 13/9

x*(x-13/9) = 0

(x*(x-13/9))/(2*x*x*(x-1)) = 0

(x*(x-13/9))/(2*x*x*(x-1)) = 0 // * 2*x*x*(x-1)

x*(x-13/9) = 0

( x-13/9 )

x-13/9 = 0 // + 13/9

x = 13/9

( x )

x = 0

x in { 0}

x = 13/9

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