SOLUTION: Please help me solve this problem with solutions so i can understand clearly: {{{(7-5i)/(3+6i)}}}

Question 776314: Please help me solve this problem with solutions so i can understand clearly:
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(7-5i)/(3+6i)
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Multiply numerator and denominator by (3-6i) to get:
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= [(7-5i)(3-6i)]/[3^2+6^2]
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= [21-42i-15i-30]/45
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= (-9-57i)/45
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Cheers,
Stan H.
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Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

What you are trying to do is to get this
into the form
------------------------
Multiply both top and bottom by
This is called the complex conjugate

This is the same as multiplying by ,
so you haven't changed anything
----------------------------
Rewrite it as:

Now multiply out the denominator as follows:

Using the fact that , I get:

-------------------------
Now my expression is:

Now multiply out the numerator:

-------------
Putting the numerator and denominator
together, I get:
, or

-------------------
I can check this result:

Multiply both sides by

OK
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