The equation is
.
Rewrite the equation as
.
Find the six vertices of the hexagon by finding sixth roots of
.
Write
in polar form.
Compare the complex number with
.
Here
and
.
and
.
and
.
The polar form of
is
.
.
The complex number
has
distinct roots found by the
, where
.
Write the expression square roots.
\Here
.
Thus,
.
Substitute
in the above expression
.

.
Substitute
in the expression
.

.
Substitute
in the above expression
.

.
Substitute
in the expression
.

.
Substitute
in the expression
.

Substitute
in the expression
.

Vertices are located at
\
and
.
Vertices are located at
and
.