Hi, my factoring is not too good. How do I factor this and solve for 0?:

x^2 + 2x + 2 = 0

Thanks, Kim

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- May 29th 2008, 08:45 AMKim NuBasic factoring question
Hi, my factoring is not too good. How do I factor this and solve for 0?:

x^2 + 2x + 2 = 0

Thanks, Kim - May 29th 2008, 10:17 AMTheEmptySet

Since there are not factors of that add up to two. This will not factor over the Rational Numbers. We can, however, complete the square(or use the quadratic formula ) to obtain solutions and factorizations.

First lets move the constant to the other side

To complete the square we take half of the b term b=2

and then we square it to get

We now add this to both sides of the equation to get

now we can factor the left hand side to get

Now to solve for zero we will get complex solutions because there is no Real number that when you square it you will get a negative one. To solve form here take the square root of both sides are remember that with that said....

Since you asked for a factorization we can add one to both sides to get

we can rewrite this as

but so we get

this is a difference of squares so we get

You can solve this from here using the zero factor principle.

Note you will get the same solutions as from above, or if you use the quadratic formula.

I hope this helps. - June 2nd 2008, 04:43 PMAlgebraAnswersDoesn't factor
That equation does not factor. You will need to use the quadratic formula to solve for 0.

Go to here for more info:

Quadratic equation - Wikipedia, the free encyclopedia

Hope that helps.

Now if you typed the question wrong and it's supposed to be x^2+3x+2 then it can factor to (x+2)(x+1), but the one you've typed cannot be factored. - June 2nd 2008, 07:26 PMTheEmptySet