The equation is
.
Subtract 9 from each side.
\

For a trinomial to be factorable as a perfect square, the first and last terms must be perfect squares and the middle term must be two times the square roots of the first and last terms.
\ 1. Is the first term a perfect square? Yes,
.
2. Is the last term a perfect square? Yes,
.
3. Is the middle term to
? Yes,
.
Since all three conditions are satisfied,
is a perfect square trinomial.
The polynomial,
write as
.

Factor using the pattern.
\
.
The factor form of equation is
.
Set the repeated factor equal to zero.
\
Add 3 to each side.
\

Divide each side by 8.
\

The value of
.