Question

What are the solutions to x2 + 8x + 7 = 0

Answer 1

$x^{2} +8x+7=0$
Product=7
sum=8
$x^{2} +x+7x+7=0$
x(x+1)+7(x+1)=0
(x+7)(x+1)=0
x=-7, -1

Answer 2

X^2 + 8x + 7 = 0
x^2 + 7x + x + 7 = 0
x(x + 7) + 1(x + 7) = 0
(x + 7) (x + 1) = 0

x = -7      or       x = -1