X=2
2
β
3
(
|
x
β
2
|
)
β
4
x
=
β
6
β
3
(
|
x
β
2
|
)
β
4
x
+
2
=
β
6
Step 1: Add 4x to both sides.
β
3
(
|
x
β
2
|
)
β
4
x
+
2
+
4
x
=
β
6
+
4
x
β
3
(
|
x
β
2
|
)
+
2
=
4
x
β
6
Step 2: Add -2 to both sides.
β
3
(
|
x
β
2
|
)
+
2
+
β
2
=
4
x
β
6
+
β
2
β
3
(
|
x
β
2
|
)
=
4
x
β
8
Step 3: Divide both sides by -3.
β
3
(
|
x
β
2
|
)
β
3
=
4
x
β
8
β
3
|
x
β
2
|
=
β
4
3
x
+
8
3
Step 4: Solve Absolute Value.
|
x
β
2
|
=
β
4
3
x
+
8
3
We know either
x
β
2
=
β
4
3
x
+
8
3
or
x
β
2
=
β
(
β
4
3
x
+
8
3
)
x
β
2
=
β
4
3
x
+
8
3
(Possibility 1)
x
β
2
+
4
3
x
=
β
4
3
x
+
8
3
+
4
3
x
(Add 4/3x to both sides)
7
3
x
β
2
=
8
3
7
3
x
β
2
+
2
=
8
3
+
2
(Add 2 to both sides)
7
3
x
=
14
3
(
3
7
)
*
(
7
3
x
)
=
(
3
7
)
*
(
14
3
)
(Multiply both sides by 3/7)
x
=
2
x
β
2
=
β
(
β
4
3
x
+
8
3
)
(Possibility 2)
x
β
2
=
4
3
x
+
β
8
3
(Simplify both sides of the equation)
x
β
2
β
4
3
x
=
4
3
x
+
β
8
3
β
4
3
x
(Subtract 4/3x from both sides)
β
1
3
x
β
2
=
β
8
3
β
1
3
x
β
2
+
2
=
β
8
3
+
2
(Add 2 to both sides)
β
1
3
x
=
β
2
3
(
3
β
1
)
*
(
β
1
3
x
)
=
(
3
β
1
)
*
(
β
2
3
)
(Multiply both sides by 3/(-1))
x
=
2
β
3
(
|
x
β
2
|
)
β
4
x
=
β
6
β
3
(
|
x
β
2
|
)
β
4
x
+
2
=
β
6
Step 1: Add 4x to both sides.
β
3
(
|
x
β
2
|
)
β
4
x
+
2
+
4
x
=
β
6
+
4
x
β
3
(
|
x
β
2
|
)
+
2
=
4
x
β
6
Step 2: Add -2 to both sides.
β
3
(
|
x
β
2
|
)
+
2
+
β
2
=
4
x
β
6
+
β
2
β
3
(
|
x
β
2
|
)
=
4
x
β
8
Step 3: Divide both sides by -3.
β
3
(
|
x
β
2
|
)
β
3
=
4
x
β
8
β
3
|
x
β
2
|
=
β
4
3
x
+
8
3
Step 4: Solve Absolute Value.
|
x
β
2
|
=
β
4
3
x
+
8
3
We know either
x
β
2
=
β
4
3
x
+
8
3
or
x
β
2
=
β
(
β
4
3
x
+
8
3
)
x
β
2
=
β
4
3
x
+
8
3
(Possibility 1)
x
β
2
+
4
3
x
=
β
4
3
x
+
8
3
+
4
3
x
(Add 4/3x to both sides)
7
3
x
β
2
=
8
3
7
3
x
β
2
+
2
=
8
3
+
2
(Add 2 to both sides)
7
3
x
=
14
3
(
3
7
)
*
(
7
3
x
)
=
(
3
7
)
*
(
14
3
)
(Multiply both sides by 3/7)
x
=
2
x
β
2
=
β
(
β
4
3
x
+
8
3
)
(Possibility 2)
x
β
2
=
4
3
x
+
β
8
3
(Simplify both sides of the equation)
x
β
2
β
4
3
x
=
4
3
x
+
β
8
3
β
4
3
x
(Subtract 4/3x from both sides)
β
1
3
x
β
2
=
β
8
3
β
1
3
x
β
2
+
2
=
β
8
3
+
2
(Add 2 to both sides)
β
1
3
x
=
β
2
3
(
3
β
1
)
*
(
β
1
3
x
)
=
(
3
β
1
)
*
(
β
2
3
)
(Multiply both sides by 3/(-1))
x
=
2