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2002 AMC 12A
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Compute the sum of all the roots of
(
2
x
+
3
)
(
x
−
4
)
+
(
2
x
+
3
)
(
x
−
6
)
=
0
(2x+3)(x-4)+(2x+3)(x-6)=0
(
2
x
+
3
)
(
x
−
4
)
+
(
2
x
+
3
)
(
x
−
6
)
=
0
.
A
7
2
\frac{7}{2}
2
7
B
4
4
4
C
5
5
5
D
7
7
7
E
13
13
13
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