SOLUTION: So, I am trying to figure out an equation and I've come to a point where I'm supposed to factor to finish the problem. I need to factor 25i^2-40i+16. I know that the answer i

Algebra ->  Equations -> SOLUTION: So, I am trying to figure out an equation and I've come to a point where I'm supposed to factor to finish the problem. I need to factor 25i^2-40i+16. I know that the answer i      Log On


   



Question 992213: So, I am trying to figure out an equation and I've come to a point where I'm supposed to factor to finish the problem.
I need to factor 25i^2-40i+16.
I know that the answer is -9-40i.
But I am trying to figure out exactly HOW that factoring works.
(I am going to be tested on this, and I would really like to know how to factor it, rather than have to rely on a calculator).
So I guess the straightforward question here is:
"How do I factor 25i^2-40i+16 to get -9-40i?"
Thank you in advance

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

25i%5E2-40i%2B16.......recall that i%5E2=-1
25%28-1%29-40i%2B16
-25-40i%2B16
%28-25%2B16%29-40i
-9-40i