SOLUTION: how do you factor 5x^2-2x=0?

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Question 281400: how do you factor 5x^2-2x=0?
Found 2 solutions by Mathematicians, richwmiller:
Answer by Mathematicians(84) About Me  (Show Source):
You can put this solution on YOUR website!
There are a lot of different ways to factor out something sometimes it may be hard to remember. In your example:
5x%5E2+-+2x+=+0
You can factor using greatest common multiple. The greatest common multiple of 5x%5E2, and 2x is x
Therefore you can take out an x like this:
5x%5E2+-+2x+=+x%285x-2%29
Now that you have it factored, you have to set both of them equaling to 0. The first one is easy:
x+=+0
second one requires a little more algebra.
5x+-+2+=+0
5x+=+2 and finally
x+=+2%2F5
Those are both your answers!

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
factor out x
x*(5x-2)=0
x=0
5x-2=0
5x=2
x=2/5