SOLUTION: 4m squared-28m+49=0 Please show me how to solve the polynomial equation.

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Question 167346: 4m squared-28m+49=0
Please show me how to solve the polynomial equation.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for m:
4m%5E2-28m%2B49+=+0 Factor the quadratic equation.
%282m-7%29%282m-7%29+=+0 Apply the zero product rule:
2m-7+=+0 or 2m-7+=+0
If 2m-7+=+0 then 2m+=+7 and so m+=+7%2F2
So the solution is a double root: m+=+7%2F2 or m+=+3.5
graph%28400%2C400%2C-3%2C10%2C-5%2C50%2C4x%5E2-28x%2B49%29