Respuesta :

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]

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