3√x + 8 = 10√x + 9

This is how i solved it:

subtract 3√x from both sides,so the result is:

8 = 7√x + 9

subtract 9 from both sides

-1 = 7√x

after that,everything gets squared:

1 = 49 x

and then,divide everything by 49,so:

1/49 = x

HOWEVER,there must be something wrong,cause the above equation has no solutions,due to the fact that the response should be negative.

But mine,obviously has a solution....What am i doing wrong?