Answer:
Step-by-step explanation:
Move all terms not containing
|
4
p
+
2
|
|
4
p
+
2
|
to the right side of the equation.
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9
|
4
p
+
2
|
=
27
9
|
4
p
+
2
|
=
27
Divide each term by
9
9
and simplify.
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|
4
p
+
2
|
=
3
|
4
p
+
2
|
=
3
Remove the absolute value term. This creates a
±
±
on the right side of the equation because
|
x
|
=
±
x
|
x
|
=
±
x
.
4
p
+
2
=
±
3
4
p
+
2
=
±
3
Set up the positive portion of the
±
±
solution.
4
p
+
2
=
3
4
p
+
2
=
3
Solve the first equation for
p
p
.
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p
=
1
4
p
=
1
4
Set up the negative portion of the
±
±
solution.
4
p
+
2
=
−
3
4
p
+
2
=
-
3
Solve the second equation for
p
p
.
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p
=
−
5
4
p
=
-
5
4
The solution to the equation includes both the positive and negative portions of the solution.
p
=
1
4
,
−
5
4
p
=
1
4
,
-
5
4
The result can be shown in multiple forms.
Exact Form:
p
=
1
4
,
−
5
4
p
=
1
4
,
-
5
4
Decimal Form:
p
=
0.25
,
−
1.25
p
=
0.25
,
-
1.25
Mixed Number Form:
p
=
1
4
,
−
1
1
4
p
=
1
4
,
-
1
1
4
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