how to solve perfect squared trinomials with a GCF of 2?

Answer 1

2x^2 + 4x + 2 = 0

divide by the common fact of 2

x^2 + 2x + 1 = 0

rewrite in factored form

(x+1)^2 = 0

take the square root

x+1 = 0

subtract the constant term of 1 from both sides

x = -1