AEB047
How do you solve 3x^2+9xy+6x^2=(3x+6y)*w
for w?



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chaguanas
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Divide both sides by 3x+6y

mathstudent55
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Since w is only on the right side multiplied by a factor, divide both sides by that factor

AEB047
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done

AEB047
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what do I do next?

mathstudent55
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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.

AEB047
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how?

AEB047
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Is it 3(x^2+3xy+2y^2)?

AEB047
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over 6y?

mathstudent55
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dw:1355790864929:dw

mathstudent55
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Are you sure last term on original problem's left side is 6x^2 and not 6y^2?

AEB047
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Yep. That would be a lot easier.

AEB047
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I'm sure it is 6y.

mathstudent55
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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