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1 solution
There are many methods to solve this quadratic equation
Factorising
x 2 + 4 x + 4 = 0
x 2 + 2 x + 2 x + 4 = 0
( x + 2 ) ( x + 2 ) = 0
( x + 2 ) 2 = 0
x = − 2
As this is a multiple choice question ,the bruteforce method is also possible you could simply substitute all of the choices given for x and then check which one makes the quadratic expression equal to zero.
( − 2 ) 2 + 4 ( − 2 ) + 4 = 0