4/(x-4)+2/(x+9)=16/(x-4)(x+9)

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Solution for 4/(x-4)+2/(x+9)=16/(x-4)(x+9) equation: 


D( x )

x-4 = 0

x+9 = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x+9 = 0

x+9 = 0

x+9 = 0 // - 9

x = -9

x in (-oo:-9) U (-9:4) U (4:+oo)

4/(x-4)+2/(x+9) = (16/(x-4))*(x+9) // - (16/(x-4))*(x+9)

4/(x-4)+2/(x+9)-((16/(x-4))*(x+9)) = 0

4/(x-4)+2/(x+9)-16*(x-4)^-1*(x+9) = 0

4/(x-4)+2/(x+9)+(-16*(x+9))/(x-4) = 0

(4*(x+9))/((x-4)*(x+9))+(2*(x-4))/((x-4)*(x+9))+(-16*(x+9)^2)/((x-4)*(x+9)) = 0

4*(x+9)+2*(x-4)-16*(x+9)^2 = 0

6*x-16*x^2-288*x-1296+28 = 0

-16*x^2-282*x-1268 = 0

-16*x^2-282*x-1268 = 0

-2*(8*x^2+141*x+634) = 0

8*x^2+141*x+634 = 0

DELTA = 141^2-(4*8*634)

DELTA = -407

DELTA < 0

-2 = 0

-2/((x-4)*(x+9)) = 0

-2/((x-4)*(x+9)) = 0 // * (x-4)*(x+9)

-2 = 0

x belongs to the empty set

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