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highwireact

The short answer: it simplifies your problem. The equation

[tex] 169x+91=0 [/tex]

seems intimidating at first, but we can use that fact that 169 and 91 have the greatest common factor 13 (169 = 13 x 13 and 91 = 13 x 7) to rewrite this as

[tex] 13(13x+7)=0\\
13x+7=0 [/tex]

and from there, it's much less of a headache to work out.

yarubiks

Factoring out a gcf in factoring helps tons when it leaves the first coefficient equal to 1. For example, take [tex] 4x^{2} +16x+16 [/tex] Looks complicated to factor, right? But we see that taking out 4 is possible, which will leave us with an easier equation to factor: [tex] 4(x^{2} +4x+4)= 4(x+2)^2 [/tex]

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