I need to isolate x. How would I do this?

Question

anonymous · Answer

$$\frac{-9x-6}{2\sqrt{x+1}}$$

amistre64 · Answer

is this an expression or an equation?

anonymous · Answer

It's supposed to say =0  after it

amistre64 · Answer

oh, do you know what a fraction is equal to zero?

amistre64 · Answer

**when a fraction is equal to zero

anonymous · Answer

Are you asking me if I know what happens or do you want to know the variable that would make the denominator 0?

amistre64 · Answer

if we consider a fraction as telling us how many we have, out of how many there are total ...

0 out of anything would equate to having none of it.

if we cut a pizza into 6 slices, and we get no slices ... we have 0 out of 6 slices.

0/6

amistre64 · Answer

in order for a fraction to equal zero, it is required that the top must equal zero ...

amistre64 · Answer

or, just mathing it.  multiply both sides by the denominator ...

the left side cancels out the bottom, and the right side is just a multiplication of 0

amistre64 · Answer

$$\frac ab=0$$
$$b*\frac ab=0*b$$
$$a=0*b=0$$

anonymous · Answer

So I need to figure out what x value makes the numerator 0?

amistre64 · Answer

correct

anonymous · Answer

x= -6/9

amistre64 · Answer

then that should be the value of x that makes the left side equate to 0

amistre64 · Answer

as long as it does not zero out the bottom ... or possibly make the sqrt a negative arguement ...

anonymous · Answer

Awesome. Thank you!

amistre64 · Answer

youre welcome