solve:
(3x+7)/(x+2) + x = 3

Question

solve:
(3x+7)/(x+2)     + x = 3

myininaya · Answer

clear the fraction by multiplying both sides by x+2

anonymous · Answer

Hint: Find the common denominator

anonymous · Answer

Do you know how to find common denominators to get a rational fraction?

anonymous · Answer

no

myininaya · Answer

look at what's on that one bottom there which is the x+2 and multiply both sides by x+2 so you don't have to deal with the ugly beast of a fraction

anonymous · Answer

myininaya as a point - you can do it that way - though I am not sure which way they want you to and if it affects the zeroes that you get out of it.

anonymous · Answer

i then got 3x+7 + x + 3x+ 6… now what? do i add 3x+x which gives me 3x^2+7=3x+6

myininaya · Answer

It looks like you left out the equal sign and forgot to multiply x by also (x+2)

myininaya · Answer

$$(x+2) \cdot (\frac{3x+7}{x+2}+x)=(x+2) \cdot 3$$
$$(x+2) \cdot \frac{3x+7}{x+2} + (x+2)(x)=3x+6 $$

myininaya · Answer

And you were right to  cancel the x+2 over x+2 since (x+2)/(x+2)=1

anonymous · Answer

ok and after that do i just combine like terms and equal it to zero?

myininaya · Answer

Well yep you want 0 on one side.

anonymous · Answer

and once i have zero on one side, i factor out, correct?

myininaya · Answer

yep or use quadratic formula

anonymous · Answer

ok i got x=-1

myininaya · Answer

That's right.

anonymous · Answer

=THANKS!

myininaya · Answer

Just make whatever answer you get is in the domain of your expression on both sides which -1 is cool.