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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

done

what do I do next?

how?

Is it 3(x^2+3xy+2y^2)?

over 6y?

|dw:1355790864929:dw|

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