SOLUTION: T^2 - 2T=15 answer (-3,5) need a full break down on why the answer is -3,5

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Question 193722: T^2 - 2T=15

answer (-3,5)
need a full break down on why the answer is -3,5
Found 2 solutions by Mathtut, Earlsdon:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
T%5E2-2T-15=0
:
%28T-5%29%28T%2B3%29=0 factored
:
T-5=0--->T=5
:
T+3=0--->T=-3

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Well...since you asked so nicely, here it is!
T%5E2-2T+=+15 First, subtract 15 from both sides of the equation.
T%5E2-2T-15+=+0 Now factor the trinomial.
%28T%2B3%29%28T-5%29+=+0 Next, apply the zero product rule.
T%2B3+=+0 or T-5+=+0
If T%2B3+=+0 then highlight%28T+=+-3%29
If T-5+=+0 then highlight%28T+=+5%29