How do I solve for t in the equation \[\frac{t(t^2-2)}{t^2-1}=0\] I know the answers are +-square root of 2 and 0 but that's after I punch it into my calculator. Could you show me the steps if I want to evaluate this by hand? Thanks!

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Since the equation is equal to zero, only the numerator is important.

Why only the numerator is important?

If t=0, the entire equation will equal 0, likewise, if t^2-2=0 the entire equation will equal 0.

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