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\[-4\sqrt{x+9}=20 \]

sqrt(x+9)=-(20/4)

I know how to solve is, I'm just not sure how to get rid of the -4 in the front of the radical.

yes that 's it

x+9=-20/4)^2. -20/4^2 = -25 then take -25 subtract 9. you will get the answer of x=-34

Can't you just square both sides to get rid of the square root, then solve like an equation?

not impossible, no solution...
if you do solve it, the solution is an extraneous solution....

Difficult equation in history

squaring both sides you get positive 25

Oh, that's right thanks
so then x+9=25
subtract 9
then positive 16?

yes... now let's see if the solution of x=16 works....

no no no no =-20

that's wrong

so the solution of x=16 is extraneous and not really a solution.

solution \[\left| -4 \right|\]

suggestion hhhh

@AntarAzri , what's the solution?

\[\left| -4 \right|\]

my oh my I have headaches because of this problem..

no no i dont mean the x
|−4|=4

ok. whatever... my answer stands... NO SOLUTION to the equation:
\(\large (-4)(\sqrt{x+9})=20 \) \)

\[(\left| -4 \right|)(\sqrt{16+9})=20\]

here's wolframs answer:
http://www.wolframalpha.com/input/?i=solve+-4*sqrt%28x%2B9%29%3D20

good

http://www.wolframalpha.com/input/?i=solve+|%E2%88%924|*sqrt%28x%2B9%29%3D20

Do we agree that it can not be the root of a negative number gives a positive number ?

I'll see what my teacher says when she grades it. Thanks for your time