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How do you solve 3x^2+9xy+6x^2=(3x+6y)*w for w?

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Divide both sides by 3x+6y
Since w is only on the right side multiplied by a factor, divide both sides by that factor

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Other answers:

what do I do next?
Now try to factor the numerator on the left. First divide it by three. The factor you divided by 3x + 6y can also be factored. A 3 comes out.
Is it 3(x^2+3xy+2y^2)?
over 6y?
Are you sure last term on original problem's left side is 6x^2 and not 6y^2?
Yep. That would be a lot easier.
I'm sure it is 6y.
You have 6x^2. I asked you if it's 6y^2, and you say you're sure it's 6y. Which is it: 6x^2 6y^2 6y

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