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Byju's Answer
Standard X
Mathematics
Quadratic Equations
Solve: x+3 x+...
Question
Solve:
x
+
3
x
+
2
=
3
x
-
7
2
x
-
3
.
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Solution
x
+
3
x
+
2
=
3
x
−
7
2
x
−
3
⇒
(
x
+
3
)
(
2
x
−
3
)
=
(
x
+
2
)
(
3
x
−
7
)
⇒ 2
x
2
−
3
x
+
6
x
−
9
=
3
x
2
−
7
x
+
6
x
−
14
⇒
3
x
2
−
7
x
+
6
x
−
14
−
2
x
2
+
3
x
−
6
x
+
9
=
0
⇒
x
2
−
4
x
−
5
=
0
⇒
x
2
−
5
x
+
x
−
5
=
0
⇒
x
(
x
−
5
)
+
1
(
x
−
5
)
=
0
⇒
(
x
−
5
)
(
x
+
1
)
=
0
∴
x
=
5
,
x
=
−
1
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Similar questions
Q.
Solve the following quadratic equations by factorization:
x
+
3
x
+
2
=
3
x
-
7
2
x
-
3