The quadratic equation is
.
Solve the above quadratic equation by completing the square.
\Consider
.
Separate variables and constants aside by subtracting 2 from each side.
\

To change the expression into a perfect square trinomial add
to each side of the equation.
Here x coefficient = 6.
\So, 
Add
to each side.

Take the square root of each side.
\
Subtract 3 from each side.
\
.
The solutions are
.