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

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


D( x )

1-x = 0

x+1 = 0

1-x = 0

1-x = 0

1-x = 0 // - 1

-x = -1 // * -1

x = 1

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x in (-oo:-1) U (-1:1) U (1:+oo)

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

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

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

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

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

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

9*x-1 = 0

(9*x-1)/((1-x)*(x+1)) = 0

(9*x-1)/((1-x)*(x+1)) = 0 // * (1-x)*(x+1)

9*x-1 = 0

9*x-1 = 0 // + 1

9*x = 1 // : 9

x = 1/9

x = 1/9

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