Answer:
The solutions are -5 and 3.
Step-by-step explanation:
[tex]x^2 - 16 = -2x-1[/tex]
[tex]x^2 - 16 +2x+1=0[/tex]
[tex]x^2 +2x-15=0[/tex]
Factoring the quadratic expression:
[tex](x+5)(x-3)= x^2 +2x-15=0[/tex]
So,
[tex]x+5 = 0 \implies x =-5[/tex]
[tex]x-3 = 0 \implies x =3[/tex]
