If you factor x² + 3x + 2 = 0
you get: (x + 2)(x+ 1) = 0
This means that either x + 2 = 0 or x + 1 = 0
x = -2 x = -1
Thee are the two values that solve the equation.
Check: (-2)² + 3(-2) + 2 = 4 - 6 + 2 = 0 It checks!
(-1)² + 3(-1) + 2 = 1 - 3 + 2 = 0 It checks!