X = ( -1 ) + ( - 4 K ) / -5
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Answers
Answer:
x= -1-4k /5
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Answer:You look for things that are in both parts
Demonstrated by the following example
Consider
2
×
7
=
14
I chose to partition(split) 7 into 3+4
So
2
×
7
is the same as
2
×
(
3
+
4
)
→
(
3
+
4
)
(
3
+
4
)
−−−−−−
←
Add
6
+
8
Mathematical convention allows me to write
2
×
(
3
+
4
)
as
2
(
3
+
4
)
Distributive - everything inside the bracket is multiplied by the 2
Now this is the same as
2
(
3
+
4
)
(
2
×
3
)
+
(
2
×
4
)
=
6
+
8
=
14
The
2
×
is distributed over every value inside the brackets
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Using the example as a comparison to
2
k
2
+
4
k
Working backwards from this we have:
Example
14
→
6
.
.
+
8
Question
→
2
k
2
+
4
k
Example-factor out the 2
.
.
→
2
(
3
+
4
)
Question-factor out the
2
k
→
2
k
(
k
+
2
)
...
.
.
=
2
k
2
+
4
k
The
2
k
(
k
+
2
)
is the consequence of using the distributive property