In order to solve this equation, let's expand the products in both sides of the equation:
[tex]\begin{gathered} x(3x-8)=(3x+6)(x-6) \\ 3x^2-8x=3x^2-18x+6x-36 \\ 3x^2-8x=3x^2-12x-36 \\ -8x=-12x-36 \\ -8x+12x=-36 \\ 4x=-36 \\ x=-9 \end{gathered}[/tex]
So the correct option is A.
The solution set is {-9}.
