SOLUTION: How does {{{ 3(4n^2+4n+1)=4m^2+4m+1 }}} Turn into {{{ 6n^2+6n+1=2(m^2+m) }}} I tried to backtrack it however it did not work..? Thanks

Algebra ->  Equations -> SOLUTION: How does {{{ 3(4n^2+4n+1)=4m^2+4m+1 }}} Turn into {{{ 6n^2+6n+1=2(m^2+m) }}} I tried to backtrack it however it did not work..? Thanks       Log On


   



Question 1017579: How does
+3%284n%5E2%2B4n%2B1%29=4m%5E2%2B4m%2B1+
Turn into
+6n%5E2%2B6n%2B1=2%28m%5E2%2Bm%29+
I tried to backtrack it however it did not work..?
Thanks

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
+3%284n%5E2%2B4n%2B1%29=4m%5E2%2B4m%2B1+

Distribute on the left:

+12n%5E2%2B12n%2B3=4m%5E2%2B4m%2B1+

Subtract 1 from both sides

+12n%5E2%2B12n%2B2=4m%5E2%2B4m+

Divide every term on both sides by 2

+6n%5E2%2B6n%2B1=2m%5E2%2B2m+

Factor out 2 on the right:

+6n%5E2%2B6n%2B1=2%28m%5E2%2Bm%29+

Edwin