SOLUTION: Could someone show me how to factor this completely? If it is even possible to do so. {{{5a^2-22a+8}}}

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Question 152241: Could someone show me how to factor this completely? If it is even possible to do so.
5a%5E2-22a%2B8
Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
5a%5E2-22a%2B8=0
then
a+=+%2822+%2B-+sqrt%28+22%5E2-4%2A5%2A8+%29%29%2F%282%2A5%29+
then
a+=+%2822+%2B-+18%29%2F%2810%29+
then solutions are a=4 and a=0.4
then 5a%5E2-22a%2B8=5%28a-4%29%28a-0.4%29