SOLUTION: (x+5)(x+3)+5x+25=0 by factoring

Question 344967: (x+5)(x+3)+5x+25=0 by factoring
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

The long way:
Simplify the left side:

Factor:

Solve:
From the Zero Product property we know that one of the factors must be zero:
or
Solving these we get:
or

The short way is based on noticing that (x+5) is already a factor of (x+5)(x+3) and that it is also a factor of 5x+25. This means we can factor by grouping:

And the rest is the same as the above.
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