allie_bear22 2 years ago what are the solutions to 6x^2=18x?

1. Euler271

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

2. whpalmer4

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

3. allie_bear22

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

5. allie_bear22

no i ment 3

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More better

8. allie_bear22

thank you

You are welcome, good luck.

10. whpalmer4

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

11. allie_bear22

so the 3 is negitive?

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

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16. 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.