Write the solution set of the given homogeneous system in parametric vector form.
4
x
1
+
4
x
2
+
8
x
3
=
0
−
12
x
1
−
12
x
2
−
24
x
3
=
0
−
4
x
2
+
12
x
3
=
0
where the solution set is x
=
⎡
⎢
⎣
x
1
x
2
x
3
⎤
⎥
⎦
.