!PLEASE HELP! Eight times the square of a negative
integer plus 24 times the negative
integer equals 80. Find the unknown
negative integer.

-2

Step-by-step explanation:

8(-a)^2+24*-a=80

or,8a^2-24a=80

or,8a^2-24a-80=0

or,8(a^2-3a-10)=0

or,a^2-3a-10=0

or,a^2-(5-2)a-10=0

or,a^2-5a+2a-10=0

or,a(a-5)+2(a-5)=0

or,(a-5)(a+2)=0

either,

a-5=0

•°•a=5

or,

a+2=0

•°•a=-2(negative integer)

a. is correct