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\begin{aligned} x^{6}-3 x^{4}+2 x^{2} &=0 & & \text { Factor out the greatest } \\ & & & \text { common factor. } \\ x^{2}\left(x^{4}-3 x^{2}+2\right) &=0 & & \text { Factor the trinomial. } \\ x^{2}\left(x^{2}-1\right)\left(x^{2}-2\right) &=0 & & \text { Set each factor equal to zero. } \end{aligned}