SOLUTION: Hi. I have a question for you. I am working on a problem and here it is: 4x^2-44x+72=0 The least common multiple would be 4 so if I divide each term by 4, I end up with 4(x^2-1

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Question 987360: Hi. I have a question for you. I am working on a problem and here it is:
4x^2-44x+72=0
The least common multiple would be 4 so if I divide each term by 4, I end up with 4(x^2-11x+18=0) My confusion is this. I checked the answer and the answer is (x=2)(x=9) what happened to the four? Can you shed some light on this?

Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.
Your equation is

- + = .

Divide both sides by  4.  You will get

- + = .

The roots are  2  and  9  (you can use the quadratic formula or the Vieta;s theorem).



Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Hi. I have a question for you. I am working on a problem and here it is:
4x^2-44x+72=0
The least common multiple would be 4 so if I divide each term by 4, I end up with 4(x^2-11x+18=0) My confusion is this. I checked the answer and the answer is (x=2)(x=9) what happened to the four? Can you shed some light on this?
FYI: 4 is the GCF (greatest common factor) of the equation, NOT the LCM

When you divided by 4, you were supposed to get: 

Do you see how this was done? You should've divided BOTH sides by 4, not just the left side

Now, 4 = 4, and what's in the parentheses are set equal to each other

So, we have: 4 = 4 (TRUE), and . The  quadratic equation is then factored and solved for x to get roots of 2 and 9. 

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