SOLUTION: Please help me solve this equation: {{{ 37/(3z+6)<= 1/3- 2z/(z+2) }}} I am having trouble with multiplying the inequality by the LCD (least common denominator), which is 3z+6. I w

Question 946858: Please help me solve this equation:
I am having trouble with multiplying the inequality by the LCD (least common denominator), which is 3z+6. I wrote out the inequality like this:

The problem is I am not sure how to divide the denominators of the fractions into the least common denominator (3z+6). When I try to divide it, it turns into this:

The inequality above gives me an answer of but that is incorrect, so I'm confused. If you are able, could you please explain what I'm doing wrong?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
37/(3z+6)<= 1/3- 2z/(z+2)
--------
The LCD is 3(z+2)
----
Multiplying thru by the LCD you get:
37 <= (z+2) - 6z
----
37 <= -5z + 2
---
5z <= 2-37
5z <= -35
z <= -7
------------------
Cheers,
Stan H.
------------------
RELATED QUESTIONS
Help me solve, i'm having trouble multiplying the left side of the equation by the LCD:... (answered by unlockmath)

Please help me solve this equation and show the work. Factor by grouping: 6z^3 + 3z^2... (answered by Alan3354)

I am having trouble with multiplying,dividing and simplifing these problems. I can get... (answered by mananth)

Please help me understand how to do this.. Perform the indicated operations and simplify (answered by ewatrrr)

please help me with this question.I am having difficulty eliminating variables. solve... (answered by ankor@dixie-net.com)

I am having trouble with finding the LCD of [2/(2b-c)] and [3/(b-c)]. Can you please... (answered by ikleyn)

Will you please help me with this rational equation? I got it wrong on my test but still... (answered by oberobic)

Help me with this problem x^2/6-x/2-3=0. the directions is solve the given equation by... (answered by josgarithmetic)

Please help me solve this equation: x+2y+3z=6 y+2z=0 z=2 can you do this by... (answered by Mathtut)