5^2-13x solve by factorization

I think you mis-typed your question......   can you look to be sure you entered it correctly and completely??

5^2 -13x

=25-13x       That is all that can be done with this....

I think this might be  :

5x^2 -  13x   = 0   ......if so......factor out an  "x"

x(5x - 13)  = 0       set both factors to 0

x  = 0                  a nd           5x - 13  =  0    →  5x  = 13  →   x  = 13/5

And these are the two solutions