Use the zero product property to find the solutions to the equation x squared plus x minus 30 is equal to 12
Answer
A
x is equal to negative 6 or x is equal to 7
B
x is equal to 6 or x is equal to 7
C
x is equal to negative 7 or x is equal to negative 6
D
x is equal to negative 7 or x is equal to 6
Explanation
Subtract 12 from both sides to get x² + x − 42 = 0. Factor this as (x + 7)(x − 6) = 0; by the zero product property, x = −7 or x = 6, which is choice C.
AI-written and checked against the verified answer.