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Algebra - 2n^2 + 4n = 0

2n^2 + 4n = 0
What does n equal?

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Letitia A. | One lesson and you will be hookedOne lesson and you will be hooked
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2n^2 + 4n = 0 
 
divide through by 2
 
n^2 + 2n  = 0
 
factor out n
 
n(n+2)    = 0
 
n=0 or n+2 =0 
 
Answers:  n = 0 or n = -2

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Efe M. | Licensed Energetic, Creative, and Motivational Math TeacherLicensed Energetic, Creative, and Motiva...
4.8 4.8 (63 lesson ratings) (63)
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Hi Tahlia,

To solve this equation you will need to simplify the equation by determining the greatest common factor and then solving for n.
 
2n+ 4n = 0 (the greatest common factor among 2n2 and 4n is 2n)
=> 2n(n + 2) = 0.
 
Now solve for n:
2n = 0 => n = 0 OR
n + 2 = 0 => n = -2
 
Hope this helps!

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