3/(1-x)=4/(1+x)

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Solution for 3/(1-x)=4/(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)

3/(1-x) = 4/(x+1) // - 4/(x+1)

3/(1-x)-(4/(x+1)) = 0

3/(1-x)-4*(x+1)^-1 = 0

3/(1-x)-4/(x+1) = 0

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

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

7*x-1 = 0

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

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

7*x-1 = 0

7*x-1 = 0 // + 1

7*x = 1 // : 7

x = 1/7

x = 1/7

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