(2)/(x^2+4x+4)=1/2

Question

Can someone help me solve for x? Thank you.

Answer 1

2 / (x² + 4x + 4) = 1 / 2       multiply both sides by 2

4 / (x² + 4x + 4) = 1            multiply both sides by trinomial

4 = x² + 4x + 4                    subtract 4 from both sides

0 = x² + 4x                          factor

0 = x(x + 4)

 

x ∈ {-4, 0}