Questions on Algebra: Distributive, associative, commutative properties, FOIL answered by real tutors!

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Question 144984: Not sure how to solve:
3x^2-x=0: Not sure how to solve:
3x^2-x=0
Answer by jim_thompson5910(9402) About Me  (Show Source):
You can put this solution on YOUR website!

3x^2-x=0 Start with the given equation

x(3x-1)=0 Factor the left side


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

x=0 or x=1/3 Now solve for x in each case


So our answers are

x=0 or x=1/3


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


graph(500,500,-10,10,-10,10,0, 3x^2-x)
Question 144984: Not sure how to solve:
3x^2-x=0: Not sure how to solve:
3x^2-x=0
Answer by stanbon(19020) 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.