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Byju's Answer
Standard IX
Mathematics
Linear Equation in One Variable
Simplify the ...
Question
Simplify the equation:
1
a
+
b
+
x
=
1
a
+
1
b
+
1
x
;
a
+
b
≠
0
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Solution
1
a
+
b
+
x
=
1
a
+
1
b
+
1
x
a
+
b
≠
0
=
1
a
+
b
+
x
=
b
x
+
a
x
+
a
b
a
b
x
=
a
b
x
=
(
a
+
b
+
x
)
(
b
x
+
a
x
+
a
b
)
⇒
a
b
x
=
(
a
+
b
)
2
x
+
(
a
+
b
)
a
b
+
x
2
(
a
+
b
)
+
a
b
x
⇒
(
a
+
b
)
2
x
+
(
a
+
b
)
x
2
+
a
2
b
+
a
b
2
=
0
⇒
(
a
+
b
)
x
2
+
(
a
+
b
)
2
+
(
a
+
b
)
a
b
=
0
⇒
x
2
+
(
a
+
b
)
x
+
a
b
=
0
x
=
−
(
a
+
b
)
±
√
(
a
+
b
)
2
−
4
a
b
2
=
−
(
a
+
b
)
±
(
a
−
b
)
2
x
=
−
a
−
b
+
a
−
b
2
,
x
=
−
a
−
b
−
a
+
b
2
x
=
−
b
x
=
−
a
x
=
−
a
,
−
b
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