Respuesta :

r3t40

Note that,

[tex]9x^2+24x+20=4\Longrightarrow9x^2+24x+16[/tex]

Which factors to,

[tex](3x+4)^2=0\Longrightarrow3x+4=0[/tex]

And simplifies to solution C,

[tex]\boxed{x=-\dfrac{4}{3}}[/tex]

Hope this helps.

Any additional questions please feel free to ask.

r3t40

gmany

Answer:

[tex]\large\boxed{C.\ x=-\dfrac{4}{3}}[/tex]

Step-by-step explanation:

[tex]9x^2+24x+20=4\qquad\text{subtract 4 from both sides}\\\\9x^2+12x+12x+16=0\\\\3x(3x+4)+4(3x+4)=0\\\\(3x+4)(3x+4)=0\\\\(3x+4)^2=0\iff3x+4=0\qquad\text{subtract 4 from both sides}\\\\3x=-4\qquad\text{divide both sides by 3}\\\\x=-\dfrac{4}{3}[/tex]

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