Solve the following equation. Be sure to check the answer in the original equation if you multiply both sides by an expression that contains the variable.

(Problem in comments...)

Question

Solve the following equation. Be sure to check the answer in the original equation if you multiply both sides by an expression that contains the variable.

(Problem in comments...)

anonymous · Answer

$$\frac{ 15 }{ x^2-9 } +\frac{ 3 }{ x+3 } =\frac{ 2 }{ x-3 }$$

anonymous · Answer

@ganeshie8

anonymous · Answer

Multiply all sides by $x^2-9$.

anonymous · Answer

Notice that $x^2-9=(x-3)(x+3)$.

anonymous · Answer

So we get $$
15 + 3(x-3) = 2(x+3)
$$

anonymous · Answer

That's the answer?

anonymous · Answer

you need to simplify and solve for $x$, but the problem is much simpler now.

anonymous · Answer

is it, 15+3x+9=2x+6?

ganeshie8 · Answer

$15 + 3(x-3) = 2(x+3) $


becomes

$15 + 3x \color{red}{-} 9= 2x+6 $


right ?

ganeshie8 · Answer

after that, you need to solve $x$, which is same as isolating $x$

anonymous · Answer

Thats when i factor right?

anonymous · Answer

I am having some trouble with this... Did you work out the answer @cookiibabii93
Did you get x to be 0, because thats what i got...

anonymous · Answer

You should get $x=0$.

anonymous · Answer

@wio
I kind of get scared when x=0 because I always expect x to never be 0.