"explain accurately" is correct and usable in written English.
You can use it when you want to urge someone to explain something in a clear and precise way. For example: "Please explain the situation accurately so that I can understand it clearly."
As reporters gleefully began surmising that Mr. Romney had taken a veiled dig at Mr. Perry's memory mishap, a Romney aide came rushing over to explain — accurately — that Mr. Romney's comment was something he often said on the trail, and was in no way meant as an attack on Mr. Perry.
Because the information is limited in the public domain, it is impossible to explain accurately all of the above phenomena in this paper.
NI recognizes that natural selection is not occurring, but does not explain accurately how these changes can occur; for example, argues that mutation causes all the change without reference to selection or drift.
It is therefore clear that one needs to incorporate the possible effects of O/N2 changes, in addition to those due to disturbance-related electric fields and the mechanical effect of neutral winds, to be able to explain accurately the ionization distribution.
I'd like to see more basic science, but explained accurately.
Moreover, the relation between the mechanism of action and the binding site of BzC has not yet been explained accurately.
When questioned, Hastert could have instead explained accurately what he was doing, or he could have declined to talk, or he could have summoned a lawyer.
Why was it not explained accurately the first time?" Hillary responded by referring at some length to the difficulty of reconstructing events of some fifteen years ago, and of trying to piece together records from such a distant period.
Using Einstein's formula to deduce the frequency of the light, Bohr not only explained the form of the Balmer formula but also explained accurately the value of the constant of proportionality R. The usefulness of Bohr's theory extends beyond the hydrogen atom.
The release of Fe from both rock types under oxic conditions could be explained accurately with the oxidation of pyrite by oxygen and ferric iron (Table 2).
Having observed these deputies on a daily basis for the last 20 years, I can attest that they are extremely dedicated to their client (the public) and almost all have spent a great deal of time explaining accurately to anyone who asks what went on in chambers.
