2x/x+3 + 1/x-1 = 4/x^2+2x-3

решите уравнение

2x/x+3 + 1/x-1 = 4/x^2+2x-3

x ≠-3

x≠1

2x/x+3+1/x-1-4/x²+2x-2=0

2x/x=3+1/x-1-4/x²+3x-x-3=0

2x/x+3+1/x-1-4/x (x+) - (x+3) = 0

2x/x+3+1/x-1-4 / (x+3) (x-1) = 0

2x²-2x+x+3-4 / (x+3) (x-1) = 0

2x²+x-2x-1 / (x+3) (x-1) = 0

x (2x+1) - (2x+1) / (x+3) (x-1) = 0

(2x+1) (x-1) / (x+3) (x-1) = 0

2x+1/x+3=0

2x+1=0

2x=-1

x=-1/2

x≠-3

x≠1

x=-1/2