i'm not sure if i understand this concept at all.(adsbygoogle = window.adsbygoogle || []).push({});

for finding all the solutions (mod 45) of

4x=7 (mod 45), we know that solutions exist, b/c the gcd (4, 45)=1 which divides 7.

then

4x= [52,97,112,157] (mod 45*4)

4x= 52 (mod 180) and 4x=112(mod 180).

these reduce to x=13 (mod 45) and x=28 (mod 45) respectively.

then x=13, 28 (mod 45)?

i feel like i'm missing some important step or piece of the concept.

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# Remodularization? help?

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