Answer:
x = - 2, x = - 1
Step-by-step explanation:
Given
x² + 3x + 2 = 0 ← in standard form
(x + 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x + 1 = 0 ⇒ x = - 1
Answer:
[tex]x= -2 \ \ or \ \ x=-1[/tex]
Step-by-step explanation:
To solve this equation, we break the middle term into two, depending on the factors of the last term.
[tex]x^2 + 3x +2 = 0\\x^2 +2x +x +2 = 0\\x(x+2) + 1 (x+2) = 0\\(x+2)(x+1) = 0\\(x+2) = 0 \ \ or \ \ (x+1) = 0\\x+2 =0 \ \ or \ \ x+1 =0\\x= -2 \ \ or \ \ x=-1[/tex]
