SOLUTION: I am completely lost with this problem: Solve:x^2/2-x/4=3/4 I greatly appreciate ANY help.

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Question 83493: I am completely lost with this problem:
Solve:x^2/2-x/4=3/4 I greatly appreciate ANY help.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
x%5E2%2F2+-+x%2F4+=+3%2F4 First, clear the fractions by multiplying through by 4 (the LCD).
2x%5E2-x+=+3 Now subtract 3 from both sides.
2x%5E2-x-3+=+0 Next, factor the left side.
%282x-3%29%28x%2B1%29+=+0 Apply the zero products principle.
2x-3+=+0 and/or x%2B1+=+0
If 2x-3+=+0 then 2x+=+3 and so x+=+3%2F2
If x%2B1+=+0 then x+=+-1
The solutions are:
x+=+3%2F2
x+=+-1