SOLUTION: 10c2-21c=-4c+6

Question 23410: 10c2-21c=-4c+6
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!

Are you sure you didn't copy this one wrong? It works out a LOT better (it factors!) if you had written this . I'm going to take the liberty of changing it, and if I'm wrong, then just repost the question. I will owe you a solution to the other problem, using the quadratic formula (or one of algebra.com quadratic equation solver!)

So I'm saying let's do this:
.

This is a quadratic equation, so set it equal to zero, by adding +4c +6 to each side:

This can be a tough factoring problem. You might want to see a page on my website: click on my tutor name "rapaljer" anywhere in algebra.com, and look for "Basic Algebra", then go to "Samples of Basic Algebra: One Step at a Time." Then in Chapter 2 there are several sections on factoring. The one you need here for this problem is the one I call "Advanced Trinomial Factoring." It is a DETAILED explanation, with examples, exercises, and solutions to ALL the exercises-- and like everything else around here, it's ALL FREE!!

Back to the problem:

You need to find two numbers whose product is 10c^2. Most likely that will be 5c*2c:

Now, you need to find two numbers whose product is +6, and the middle term has to add up to a -17c. The signs will both be negative, so try -6*-1 (since I happen to have already tried the -3*-2 and it didn't work out right. I think you should putting the -6 first and the -1 in the second slot.

If you will do the OUTER times OUTER and the INNER times INNER, you will have -5c -12c, which is -17c.

Now finish the problem by separating the quadratic equation into TWO solutions:

First solution:

Second solution:

R^2 at SCC
RELATED QUESTIONS
evaluate... (answered by solver91311)

2c=14=6-4c (answered by Alan3354)

(4c+6)(c-4) (answered by rfer)

4c-6+c=4-3c (answered by askmemath)

4C+7/2... (answered by funmath)

Find the LCM of c2 + 5c + 6 and 3c2 + 21c + 36 (answered by Fombitz)

1/4c+2/3d=6... (answered by rahman)

How can I solve this problem? 4c+3(2+c)=4c+6+3c =4c+3c+6 (answered by AnlytcPhil)