help needed on complex equation

[vangle]

G(jw)=0=(k(jw)^2+k(jw)+k)(6w^3-9w)

how do i go about finding a value for w when k= 50, 100 and 1000 i know it will be the same method for each if u can help please do

[Math Geek]

G(jw)=0=(k(jw)^2+k(jw)+k)(6w^3-9w)

how do i go about finding a value for w when k= 50, 100 and 1000 i know it will be the same method for each if u can help please do

Hello Vangle,
It's a homework assignment. I can't give you the answer. The work has to come from you. All I can do is guide you though.

[NotLKH]

G(jw)=0=(k(jw)^2+k(jw)+k)(6w^3-9w)

how do i go about finding a value for w when k= 50, 100 and 1000 i know it will be the same method for each if u can help please do

I agree with MG, no solutions, just guidance.

A good place to start is to realize that your rhand hand side can be restated if you notice that k is a multiple of all the elements in your first () area, and 3w is a multiple of all the elements of your second set of ().

So you can actually make your right hand side 3kw*(reduced quadratic)*(reduced cubic).

then since A*B*C=0 whenever A=0 or B=0 or C=0, you can produce solutions from 3kw, the reduced quadratic, and the reduced cubic.