SOLUTION: I am working on decomposing rational functions into partial fractions. I know how to do everything, except I have gotten stuck on one problem because I can't factor the denominator

Question 821369: I am working on decomposing rational functions into partial fractions. I know how to do everything, except I have gotten stuck on one problem because I can't factor the denominator into (x-_) (x-_)... Thanks!!! The whole rational function is 10x over x^2 -2x+15 Please help me factor this equation:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
x^2 - 2x + 15, does not have any real roots
Perhaps they meant x^2 - 2x - 15, Which factors to (x-5)(x+3)
then
= + =
denominators are equal, numerators are equal
10x = A(x+2) + B(x-5)
let x = 5 and last expressions drops out
10(5) = A(5+2)
50 = 7A
A = 50/7, not an integer solution so I am not sure what they mean here
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