To factor any term, divide by the LCF (largest common factor) of the term. For 5x2-45, the LCF is 5.
5x2-45 = 5(x2-9)
It can, of course, be factored even further to become:
5(x2-9) = 45(x2/9 - 1)
but when factoring, we usually don't need to go past 5(x2-9) (for example, you've figured out that x2 = 9, thus x = +/- 3.)
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5x2
(5x-6)(x-3)
(5x - 1)(x + 6)
False
If you mean 5x^2 -125 then it is 5(x^2 -25) when factored