I need some help solving this. I know the next step is to multiply out the right side and then collect all like terms but I do not know where to start or how to do this. Supposedly I cannot just pick random values to find A - D.

$\displaystyle \int\frac{x^2-29x+5}{(x-4)^2(x^2+3)}$

$\displaystyle x^2-29x+5=A(x-4)(x^2+3)+B(x^2+3)+(Cx+D)(x-4)^2$