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You don't.

find delta and factor using the solutions

what is delta?

what about the p and q thing?

I put it through the answer check and it said that 14x^2-47x+7 was wrong

it said the methods to solving were either the quadratic formula or by completing the square.

\[x = \frac{47 \pm \sqrt{1817}}{28}\]
...dunoo how that will go in your 'answer check'