SOLUTION: I really need some help. I am back to school after 30 years and I don't have a clue. Here is the equation: 6r-18divided by 9r^2+6r-24 times 12r-16 divided by 4r-12 Thanks

Question 55505This question is from textbook Mathematics with Applications
: I really need some help. I am back to school after 30 years and I don't have a clue. Here is the equation:
6r-18divided by 9r^2+6r-24 times 12r-16 divided by 4r-12
Thanks
Lynn This question is from textbook Mathematics with Applications

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
6r-18divided by 9r^2+6r-24 times 12r-16 divided by 4r-12
:
*
:
Concentrate on (9r^2 + 6r - 24), simplify and factor if possible:
3(3r^2 + 2r - 8) can be further factored to: 3(3x - 4)(x + 2), factoring the others is pretty easy, you will have:
:
*
:
Can do some major cancelling here: 3 into 6, 4 into 4, leaving us with:
*
:
you know that you can cancel across the "*" so you can cancel (r-3) & (3r-4):
is what's left
:
Usually when they give you these problems, a lot of factoring can be done, so look for that first.

RELATED QUESTIONS
Need help with 6th grade school project.Other students have to guess the secret number... (answered by pwac)

Convert the inequality x-y>7 to slope-intercept form. I have no clue what I am doing (answered by stanbon)

I could really use some help here. This is a crazy difficult problem. I am almost done... (answered by josgarithmetic)

What is the main thing I need to remember when I am solving equation problems. I have a... (answered by jim_thompson5910)

I am really struggling in math right now. I am working on word problems for linear... (answered by ankor@dixie-net.com)

I asked previously about factoring/simplifying of polynomials. I did not just want the... (answered by bharathi777)

I am working on Linear Equation and Inequalities I have to identify solutions to a two (answered by addingup,MathTherapy)

Hi! I'm a senior in nursing school, yet I can't remember the last time I had to solve an... (answered by rothauserc)

I get the general idea on how to set up the problems, but when I tried to solve it... (answered by josgarithmetic)