Answer
$x \pm 4$
Work Step by Step
We have $3x+16=x(x+3)$ ...(1)
Re-write as: $3x+16=x^2+3x$
or, $x^2-16 =0 \implies (x-4)(x+4)=0$
or, $x \pm 4$
and $x \ne -3, \dfrac{-16}{3}$
The solutions are not undefined values.
So, $x \pm 4$