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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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Continue Learning about Algebra
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Completely factor the expression 5x2 - 125?
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