Step-by-step explanation:
We could easily solve this by factoring.
Given eqn:
[tex]\rm{4x ^{2} + 10x + 4 = 0}[/tex]
Solution:
Factor left side:
[tex] = > 2(2x + 1)(x + 2) = 0[/tex]
Write the factors to 0 to get our solution:
[tex] = > 2x + 1 = 0[/tex]
[tex] = > \boxed{ x = - \cfrac{1}{2} }[/tex]
or else,
[tex] = > x + 2 = 0[/tex]
[tex] = > \boxed{ x = - 2}[/tex]
[tex] \rule{225pt}{2pt}[/tex]
