3/x-2 8/x 3 l.c.m of the equation (x-2)(x 3) multiply through by d l.c.m {3(x 3) 8(x-2)}/(x-2)(x 3)=2 opening each bracket 3x 9 8x-16/x^2 3x-2x-6=2 11x 7/x^2 x-6=2 cross multiply 11x-7=2(x^2 x 6) 11x-7=2x^2 2x 12 regrouping 2x^2 2x-11x-12 7=0 2x^2 9x-5=0 factories 2x^2-10x x-5=0 2x(x-5) 1(x-5)=0 (2x 1)(x-5)=0 2x 1=0 and x-5=0 2x/2=-1/2 and x= 5 x=-1/2 and 5 ans