SOLUTION: I am having trouble solving this equation for x. Could you help me? Thanks! 2e^x + 4xe^x + (x^2-1)e^x = 0

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Question 691174: I am having trouble solving this equation for x. Could you help me? Thanks!
2e^x + 4xe^x + (x^2-1)e^x = 0

Found 2 solutions by pmatei, MathLover1:
Answer by pmatei(79)   (Show Source): You can put this solution on YOUR website!
Factor :


is not zero ever, so:



Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
....first multiply


....here you have a quadratic equation (in general form ), where , and
now you use quadratic formula to solve for

....plug in values for , and





....since , we will have



.......factor out

.....cancel


solutions:







............if you plug in in given equation, you will get answer which is rounded to whole number equal to zero
or








...........if you plug in , you get , you also round it to zero
the difference appears because rounding decimals during calculation of



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