The function is
.
To find the x - intercept substitute
in the original function
.

There are two factors
that have a sum of 2 and product of
.
Write the pattern form.
\
.
There are equation formed with product two different factors. So, the graph of function intersect the x - axis at two times.The equation has two solutions.
The equation is
.
Apply zero product property:
.

Solve the first equation,
.
Add 4 to each side.
\

Solve the second equation,
.
Subtract 6 from each side.
\

\
The value of
.
The solutions are
.