3/(x+1)=x/4

Solution for 3/(x+1)=x/4 equation:

D( x )

x+1 = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

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

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

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

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

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

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

12-x^2-x = 0

12-x^2-x = 0

12-x^2-x = 0

DELTA = (-1)^2-(-1*4*12)

DELTA = 49

DELTA > 0

x = (49^(1/2)+1)/(-1*2) or x = (1-49^(1/2))/(-1*2)

x = -4 or x = 3

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

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

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

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

( x+4 )

x+4 = 0 // - 4

x = -4

( x-3 )

x-3 = 0 // + 3

x = 3

x in { -4, 3 }