In order to factor  , first we need to ask ourselves: What two numbers multiply to 5 and add to -9? Lets find out by listing all of the possible factors of 5
Factors:
1,5,
-1,-5,List the negative factors as well. This will allow us to find all possible combinations
These factors pair up to multiply to 5.
1*5=5
(-1)*(-5)=5
note: remember two negative numbers multiplied together make a positive number
Now which of these pairs add to -9? Lets make a table of all of the pairs of factors we multiplied and see which two numbers add to -9
| First Number | | | Second Number | | | Sum | | 1 | | | 5 | || | 1+5=6 | | -1 | | | -5 | || | -1+(-5)=-6 |
None of these factors add to -9. So this quadratic cannot be factored. In order to solve for x, we need to use the quadratic formula.
as you can see,  cannot be factored; so, your solution is:
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