5/(x+2)=-50/(x-9)

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Solution for 5/(x+2)=-50/(x-9) equation: 


D( x )

x+2 = 0

x-9 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x-9 = 0

x-9 = 0

x-9 = 0 // + 9

x = 9

x in (-oo:-2) U (-2:9) U (9:+oo)

5/(x+2) = -50/(x-9) // + -50/(x-9)

5/(x+2)-(-50/(x-9)) = 0

5/(x+2)+50*(x-9)^-1 = 0

5/(x+2)+50/(x-9) = 0

(5*(x-9))/((x+2)*(x-9))+(50*(x+2))/((x+2)*(x-9)) = 0

5*(x-9)+50*(x+2) = 0

55*x+55 = 0

(55*x+55)/((x+2)*(x-9)) = 0

(55*x+55)/((x+2)*(x-9)) = 0 // * (x+2)*(x-9)

55*x+55 = 0

55*x+55 = 0 // - 55

55*x = -55 // : 55

x = -55/55

x = -1

x = -1

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