SOLUTION: Not sure how to solve: 3x^2-x=0

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Question 144984: Not sure how to solve:
3x^2-x=0

Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3x%5E2-x=0 Start with the given equation

x%283x-1%29=0 Factor the left side


Now set each factor equal to zero:
x=0 or 3x-1=0

x=0 or x=1%2F3 Now solve for x in each case


So our answers are

x=0 or x=1%2F3


Notice if we graph y=3x%5E2-x we can see that the roots are x=0 and x=1%2F3 . So this visually verifies our answer.


+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C0%2C+3x%5E2-x%29+

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
3x^2-x=0
Factor:
x(3x-1) = 0
x = 0 or 3x-1=0
x=0 or x = 1/3
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Cheers,
Stan H.