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.