To solve this equation, we need to first simplify both sides:
4x - 3/x + 1 - 2/(1 - x^2) = x/(x - 1)
Now, we can simplify the right side using a common denominator:
4x^2 - 3(x - 1) + x(1 - x^2) = x(x + 1)
Now, let's simplify the left side:
4x^2 - 3x + 3 + x - x^3 = x^2 + x
Rearranging the terms:
x^3 - 4x^2 + 4x + 3 = 0
Now we have a cubic equation to solve. We can try to factorize it or use numerical methods to find the roots.
To solve this equation, we need to first simplify both sides:
4x - 3/x + 1 - 2/(1 - x^2) = x/(x - 1)
Now, we can simplify the right side using a common denominator:
4x - 3/x + 1 - 2/(1 - x^2) = x/(x - 1)
4x^2 - 3(x - 1) + x(1 - x^2) = x(x + 1)
Now, let's simplify the left side:
4x^2 - 3x + 3 + x - x^3 = x^2 + x
Rearranging the terms:
x^3 - 4x^2 + 4x + 3 = 0
Now we have a cubic equation to solve. We can try to factorize it or use numerical methods to find the roots.