(6-x)/(3x^2-12)-2/(x-2)=1

Question

(6-x)/(3x^2-12)-2/(x-2)=1

Answer 1

(6-x)/(3(x-2)(x+2)) - 2/(x-2) =1
(6-x)/(3(x-2)(x+2)) - 6*(x+2)/(3*(x-2)(x+2)) =1
(6-x-6x-12)/(3*(x-2)(x+2))=1
-7x-6=3*(x-2)(x+2) 
-7x-6=3x^2-12
3x^2+7x-6=0
D=49+72=121
x1,2=(-7+-11)/6
x1=3 x2=4/6=2/3