Answer:-9
1
Distribute
x
(
4
x
−
1
)
+
9
(
4
x
−
1
)
=
0
x(4x−1)+9(4x−1)=0
2
Distribute
4
x
2
−
x
+
9
(
4
x
−
1
)
=
0
4x
2
−x+9(4x−1)=0
3
Distribute
4
x
2
−
x
+
36
x
−
9
=
0
4x
2
−x+36x−9=0
4
Combine like terms
4
x
2
+
35
x
−
9
=
0
4x
2
+35x−9=0
5
Use the quadratic formula
x
=
−
35
±
35
2
−
4
⋅
4
(
−
9
)
2
⋅
4
x=
2⋅4
−35±
35
2
−4⋅4(−9)
6
Simplify
x
=
−
35
±
37
8
x=
8
−35±37
7
Separate the equations
x
=
−
35
+
37
8
x
=
−
35
−
37
8
x=
8
−35+37
x=
8
−35−37
8
Solve
x
=
1
4
x
=
−
9
x=
4
1
x=−9