Respuesta :

Answer:

[tex]x = -5,\: -\frac{4}{5}[/tex]

Step-by-step explanation:

  • [tex] 5x^2 +29x + 20=0[/tex]

  • [tex]\implies 5x^2 +25x +4x+ 20=0[/tex]

  • [tex]\implies 5x(x +5) +4(x+ 5)=0[/tex]

  • [tex]\implies (x +5) (5x+ 4)=0[/tex]

  • [tex]\implies (x +5) = 0,\:(5x+ 4)=0[/tex]

  • [tex]\implies x = -5,\:x=-\frac{4}{5}[/tex]

  • [tex]\implies x = -5,\: -\frac{4}{5}[/tex]