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- anonymous

what are the solutions to 6x^2=18x?

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- anonymous

what are the solutions to 6x^2=18x?

- jamiebookeater

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- anonymous

you can divide both sides by 6x since they have that in common

- whpalmer4

What do you get if you divide both sides by any common factors?

- anonymous

this is what i got when i did the problem x=0, x=-3 @whpalmer4 @Euler271

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- radar

Are you sure about the sign in x=-3

- anonymous

no i ment 3

- radar

|dw:1369421161689:dw|

- radar

More better

- anonymous

thank you

- radar

You are welcome, good luck.

- whpalmer4

More more better:
\[6x^2 - 18x = 0\]\[6x(x-3) = 0\]\[6x = 0\]\[x-3= 0\]

- anonymous

so the 3 is negitive?

- radar

No when solving x-3=0 you would add 3 to both sides of the equal sign getting:
x=3

- radar

|dw:1369421554316:dw|

- radar

|dw:1369421678905:dw|

- radar

|dw:1369421748128:dw|

- whpalmer4

One thing that we haven't exactly made clear here: if you did just divide both sides by 6x as suggested at first:
\[6x^2 = 18x\]\[x=3\]You might get the impression that your work is done. However, there's an important thing to know, which is if your polynomial has \(x^n\) as its highest power, you must have \(n\) solutions! Some of them may be identical, but you will have that many. That would be a clue here that \(x=3\) isn't the entire story.

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