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Mathematics
Mathematics
Problem
The sum of all real values of
x
x
x
for which
3
x
2
−
9
x
+
17
x
2
+
3
x
+
10
=
5
x
2
−
7
x
+
19
3
x
2
+
5
x
+
12
\frac{3x^2 - 9x + 17}{x^2 + 3x + 10} = \frac{5x^2 - 7x + 19}{3x^2 + 5x + 12}
x
2
+
3
x
+
10
3
x
2
−
9
x
+
17
=
3
x
2
+
5
x
+
12
5
x
2
−
7
x
+
19
is equal to \_\_\_\_.
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