Question 194150
2x^2 + 20x +50 = 0
Let's  divide  thru  each  term,  on  both  sides  by  2,,,this  should  not  change the  expression
x^2 +10x +25 = 0
factor
(x+ 5 ) ( x + 5 ) =0
x+5 = 0,  therefore  x=-5,  and  -5,,,,,,,,
checking
2(-5)^2 + 20 (-5)  +50 =0
50 -100 +50 = 0
100 = 100,,,,,,ok
,
You  were  right  to  be  concerned  about  the  (2),  but  as  you  see,  a  constant  thruout  the 
equation, just   makes  all  the  numbers  larger.
,
Again  think  of  an  equation  like  a  balance,  or  a  tee-  ter - totter,  you  can  add,  subtract,  multiply  or  divide  both  sides  equally,  and  the  balance  is  maintained.