Question

Select the correct choice below and fill in any answer boxes in your choice.

Answer 1

The given equation is:

`x(3x-8)=(3x+6)(x-6)`

Expand both expressions on the left and right side of the equation and solve the equation for x:

`\begin{gathered} 3x^2-8x=3x^2-18x+6x-36 \\ 3x^2-8x=3x^2-12x-36 \\ \text{Collect like terms:} \\ 3x^2-3x^2-8x+12x=-36 \\ 4x=-36\Rightarrow(4x)/(4)=-(36)/(4) \\ x=-9 \end{gathered}`

Hence, the solution set is {-9}. Option (A).