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How do I factor or solve 2x^2+2x+2 ?

I have simplified my function down to the above expression, but I'm not sure what to do from here. 

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Milton G. | An effective tutor with a tool chest of various techniques and skillsAn effective tutor with a tool chest of ...
5.0 5.0 (2 lesson ratings) (2)

I think you are confusing the terms FACTOR and SOLVE!

The expression 

 2x^2+2x+2 is already SIMPLIFIED!  You could find the FACTORS of the terms of this POLYNOMIAL.  In this case the FACTORS common to each term is "2".  This leads to new expression 2(x^2+x+ 1).  Understanding the concepts (and vocabulary) are just important (if not more) than manipulation of the symbol and numbers.

John R. | John R: Math, Science, and History TeacherJohn R: Math, Science, and History Teach...
4.6 4.6 (55 lesson ratings) (55)

If you are looking for 0's of the function, you can use the quadratic formula to find the value of x that equals 0.

If you are just looking for factors of the original expression, you need to factor out the 2 from each term.

2x2 + 2x + 2 Given

2(x2 + x + 1) Factor out a 2

The expression cannot be factored further.