(1/(x-7))+(1/(x-2))+(9/14)

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Solution for (1/(x-7))+(1/(x-2))+(9/14) equation: 


D( x )

x-7 = 0

x-2 = 0

x-7 = 0

x-7 = 0

x-7 = 0 // + 7

x = 7

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x in (-oo:2) U (2:7) U (7:+oo)

1/(x-7)+1/(x-2)+9/14 = 0

(1*14*(x-2))/(14*(x-7)*(x-2))+(1*14*(x-7))/(14*(x-7)*(x-2))+(9*(x-7)*(x-2))/(14*(x-7)*(x-2)) = 0

1*14*(x-2)+1*14*(x-7)+9*(x-7)*(x-2) = 0

9*x^2+28*x-81*x-126+126 = 0

9*x^2-53*x = 0

9*x^2-53*x = 0

x*(9*x-53) = 0

9*x-53 = 0 // + 53

9*x = 53 // : 9

x = 53/9

x*(x-53/9) = 0

(x*(x-53/9))/(14*(x-7)*(x-2)) = 0

(x*(x-53/9))/(14*(x-7)*(x-2)) = 0 // * 14*(x-7)*(x-2)

x*(x-53/9) = 0

( x-53/9 )

x-53/9 = 0 // + 53/9

x = 53/9

( x )

x = 0

x in { 53/9, 0 }

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