Question 43653
You will need to use the quadratic formula because this problem cannot be factored evenly.

Plug the values into the quadratic formula:

{{{x = (-2 +- sqrt( 2^2-4*1*5 ))/(2*1) }}} 
Simplify and solve the problem.
{{{x = (-2 +- sqrt( 4 - 20 ))/(2) }}}
.
Continue to simplify:
{{{x = (-2 +- sqrt( -16 ))/(2) }}}
The square root of -16 = 4i
Since there is a (-1) under the radical sign, the answer will contain the imaginary number (i):
(-2 plus or minus 4i)/2
.
Factor out -2:
-2(1 plus or minus 2i)/2
.
Cancel out the 2's:
Answer: -1 plus or minus 2i