# Math Help - Complex Algebra

1. ## Complex Algebra

Hi , could someone please help with this line of working

I w=3(1-w) implies w=3(w-1)

I don't understand how the result is found .

many thanks

2. ## Re: Complex Algebra

Originally Posted by minicooper58
Hi , could someone please help with this line of working

I w=3(1-w) implies w=3(w-1)

I don't understand how the result is found .

many thanks
I don't understand it, either. I would understand

$iw=3(1-w)$ implies $w=3i(w-1).$

3. ## Re: Complex Algebra

thank you for your reply , sorry I omitted the modulus , it should read
| i w| = 3 |1-w| implies |w| = 3 |w-1|
Does this make a difference .

4. ## Re: Complex Algebra

Originally Posted by minicooper58
thank you for your reply , sorry I omitted the modulus , it should read
| i w| = 3 |1-w| implies |w| = 3 |w-1|
Does this make a difference .
If each of $z~\&~w$ is a complex number then $|zw|=|z||w|$ and $|z-w|=|w-z|.$

Moreover, because $|i|=1$ it follows that $|iw|=|w|.$

5. ## Re: Complex Algebra

many thanks much clearer now