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solving for x; cancel through by x watch

1. we're solving for x. here, i cancelled through by x but because i did, i didn't get the right answer. i thought i could cancel through by x?
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2. If you cancel with x you will lose a value, try solving it without dividing by x.
3. Sorry for my terrible handwriting, but you can never divide through by a variable as you lose a solution, so you take 2X from each side then factorise out xe^x^2
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4. The 2x’s cancel eachover out, so we are left with 6xe^x^2=xe^x^2

Ignore the e^x^2 as this will clearly just be the same for all x we have 6x=x. Therefore x must equal zero.

Hope that helps.

EDIT. seen the above post, that is correct. I didn’t account for the x^2
5. X = 6 or X = 0
6. (Original post by Radioactivedecay)
If you cancel with x you will lose a value, try solving it without dividing by x.
(Original post by MathsPhysMind)
Sorry for my terrible handwriting, but you can never divide through by a variable as you lose a solution, so you take 2X from each side then factorise out xe^x^2
(Original post by Andrew97)
The 2x’s cancel eachover out, so we are left with 6xe^x^2=xe^x^2

Ignore the e^x^2 as this will clearly just be the same for all x we have 6x=x. Therefore x must equal zero.

Hope that helps.

EDIT. seen the above post, that is correct. I didn’t account for the x^2
(Original post by Hammad(214508))
X = 6 or X = 0
not canceling x (a solution) makes logical sense. thank you.

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