# Is Zero understood to be an answer?

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Today in Algebra II we were factoring and my teacher gave us an equation:
3x^4=48x^2. She said that to get all the posible answers you have to factor the equation. I however contend that zero is an understood answer and that factoring the equation is a waste of time. Does anyone agree with me? The answers to this equation are 0 and +/- 4.

I didn't post in the academic subforum because this isn't really an academic question (it should be able to be answered useing common sense) and is purely for my own knowledge.
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