Alright, let's factor this to get the answer. 3k^2-10k+7 To find the factors, we want to think "What will add up to -10, and multiply to (+)7?" Because the leading coefficient is 3, we know that we can take one factor of 7 and multiply it by 3. Thus, this factors to (3k-7)(k-1) (if you FOIL it it should come out to be the original equation)
From this, set both of those [(3k-7) and (k-1)] equal to zero and solve 3k-7=0 3k=7 /3 k=7/3 or k=1