We have the following quadratic expression,
[tex]2x^2-13x+15[/tex]we can rewrite this expression as follows:
[tex]2(x^2-\frac{13}{2}+\frac{15}{2})[/tex]The terms into the parenthesis can be written as
[tex]x^2-\frac{13}{2}+\frac{15}{2}=(x-5)(x-\frac{3}{2})[/tex]Therefore, the answer is
[tex]2x^2-13x+15=2(x-5)(x-\frac{3}{2})[/tex]