Respuesta :
Answer:
x=-2 or x= -8.
Step-by-step explanation:
We have the equation
[tex]x^2+10x+16=0[/tex]
To factor the polynomial we search two numbers that multiplied are 16 and added are 10. In this case, 8 and 2:
(x+2)(x+8)=0.
As we have a product equal to 0, one of the factors needs to be 0. Then,
x+2 = 0 or x+8 = 0
x = -2 or x = -8.