Respuesta :

5x^2+60x=0
x(5x+60)=0

x=0
and
5x+60=0
5x=-60
x=-12

therefore, the first option is correct

Answer:

[tex]x=0[/tex] and [tex]x=-12[/tex]

Step-by-step explanation:

The given quadratic equation is:

[tex]5x^2+60x=0[/tex]

simplifying the above quadratic equation, we get

[tex]x(5x+60)=0[/tex]

⇒[tex]x=0[/tex] and [tex]5x+60=0[/tex]

⇒[tex]x=0[/tex] and [tex]5(x+12)=0[/tex]

⇒[tex]x=0[/tex] and [tex]x=-12[/tex]

Therefore, the solution of the quadratic equation is:

[tex]x=0[/tex] and [tex]x=-12[/tex].

Thus, option A is correct.