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Rewrite this so that all terms are on the left with the exception of 0 on the right: 4a^3 - a^2 - 2a^2 = 0
Combining like terms, we get
4a^3 - 3a^2 = 0
Recognize that these two terms have the common factor a^2. Thus, this 4a^3-a^2=2a^2 becomes (a^2)(4a - 3) = 0, and so the three solutions are 0, 0 and 3/4.
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