okay well first let's find out the answer for the equation as given here;
4p^2 = 12p - 5
4p^2 - 12p + 5 = 0
4p^2 - 2p - 10p + 5 = 0
2p(2p - 1) - 5(2p - 1) = 0
(2p - 5)(2p - 1) = 0
p = 5/2, 1/2
now the question is asking what type of numbers are the solutions.
your answer is D) 2 rational solutions.
hope this helped (: