Use the zero product property to find the solutions to the equation open paren x plus 2 close paren times open paren x plus 3 close paren is equal to 12

Subtract 12 from both sides to get (x + 2)(x + 3) − 12 = 0. Expanding and simplifying gives x² + 5x − 6 = 0, which factors as (x + 6)(x − 1) = 0. By the zero product property, x = −6 or x = 1, so the correct choice is “x is equal to negative 6 or x is equal to 1.”

AI-written and checked against the verified answer.