What is the solution of equation 3 / (x-1) + 4x / (1 + X & sup2;) = - 1 / (x + 1) and how to solve this equation?

What is the solution of equation 3 / (x-1) + 4x / (1 + X & sup2;) = - 1 / (x + 1) and how to solve this equation?

This is a fractional equation. First, find out the simplest common denominator (x-1) (x + 1) (1 + X & sup2;), multiply the simplest common denominator on both sides of the equation, and change the fractional equation into integral equation 3 (x + 1) (1 + X & sup2;) + 4x (x-1) (x + 1) = - (x-1) (1 + X & sup2;). Then, simplify the above equation to get the root of the integral equation