Question

!!Help Me!!
Solve the rational equation:

Answer 1

Least common denominator is (x-1)(x-2) = x²-3x+2.
2x(x-2)/((x-1)(x-2)) - (2x-5)/((x-1)(x-2)) = -3(x-1)/((x-1)(x-2))
2x(x-2) - (2x-5) = -3(x-1)
(2x²-4)-(2x-5) = -3x+1
2x²-2x+1 = -3x+1
2x²+x = 0
x(2x+1) = 0
x = 0,-½