(-4)/(x-5)=1/(x+6)

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Solution for (-4)/(x-5)=1/(x+6) equation:


D( x )

x-5 = 0

x+6 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x+6 = 0

x+6 = 0

x+6 = 0 // - 6

x = -6

x in (-oo:-6) U (-6:5) U (5:+oo)

-4/(x-5) = 1/(x+6) // - 1/(x+6)

-4/(x-5)-(1/(x+6)) = 0

-4/(x-5)-(x+6)^-1 = 0

-4/(x-5)-1/(x+6) = 0

(-4*(x+6))/((x-5)*(x+6))+(-1*(x-5))/((x-5)*(x+6)) = 0

-4*(x+6)-1*(x-5) = 0

-5*x-19 = 0

(-5*x-19)/((x-5)*(x+6)) = 0

(-5*x-19)/((x-5)*(x+6)) = 0 // * (x-5)*(x+6)

-5*x-19 = 0

-5*x-19 = 0 // + 19

-5*x = 19 // : -5

x = 19/(-5)

x = -19/5

x = -19/5

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