Answer
equation
$x=-7/3$
Work Step by Step
$\frac{9}{x^2-4}+\frac{2}{x+2}=\frac{-1}{x-2}$
$\frac{9}{(x+2)(x-2)}+\frac{2}{x+2}=\frac{-1}{x-2}$
$(x-2)(x+2)*\frac{9}{(x+2)(x-2)}+(x-2)(x+2)*\frac{2}{x+2}=(x-2)(x+2)*\frac{-1}{x-2}$
$9+2(x-2)=-1*(x+2)$
$9+2x-4=-x-2$
$5+2x=-x-2$
$3x+7=0$
$3x=-7$
$3x/3=-7/3$
$x=-7/3$
