Your Problem: 3x^2-75
First off you need to get that three out of there, factoring it out should be the best method.
3(x²-25)
For the next step ignore the 3 and focus on the rest (but in the end don't forget to add it back).
x²-25
Doesn't it look like a perfect square? Well it is. So for this step you must factor this simple equation into:
(x-5)(x+5)
Then put the three in like so and voilà:
3(x-5)(x+5)