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you can divide both sides by 6x since they have that in common
What do you get if you divide both sides by any common factors?
this is what i got when i did the problem x=0, x=-3 @whpalmer4 @Euler271
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Are you sure about the sign in x=-3
no i ment 3
You are welcome, good luck.
More more better:
\[6x^2 - 18x = 0\]\[6x(x-3) = 0\]\[6x = 0\]\[x-3= 0\]
so the 3 is negitive?
No when solving x-3=0 you would add 3 to both sides of the equal sign getting:
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.