Answer:
The solutions are
[tex]x=-8\\x=-1[/tex]
Step-by-step explanation:
We must solve the equation:
[tex]x^2+9x+8=0[/tex]
To solve the equation we can use the factoring method.
To factor the expression, look for two numbers that when you add them, get the result 9 and when multiply them, get the result 8.
You can verify that the numbers that meet this requirement are: 8 and 1.
Then the polynomial factors are:
[tex](x + 8) (x + 1)[/tex]
So
[tex]x^2+9x+8=(x + 8) (x + 1) = 0[/tex]
Then
[tex]x+8= 0[/tex] or [tex]x+1 =0[/tex]
[tex]x=-8[/tex] or [tex]x= -1[/tex]
