How do I find the w-axis intercepts of a Bode Plot?

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I'm looking at this example here, and am using the additive method to plot my bode plots.

To help me draw more accurate plots, I was wondering whether there is an easy way to find all $0 dB$ points?

Doing this question for example:

$H(s) = -10\frac{s}{(s+1)^2 (\frac{s}{10} + 1)}$

I'd need to find all points where $|H(s)| = 1$

so I compute $|H(s)| = |10| \frac{w^2}{(w^2 + 1)\sqrt{0.01w^2+1}} = 1$ which is not easy to solve at all.

How do I go about doing this?

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You should look at it as f1=s f2 =1/(s+1)^2 f3=1/(0.1s+1) then tou graph each by itself and because it is linear you just attach the lines. You will be able to see where is the zero

hope this helps. Nachum