Which is a solution to the equation? (x −2)(x + 5) = 18

To determine if ( x = -7 ) is a solution to the equation ( (x – 2)(x + 5) = 18 ), we can substitute (-7) into the equation and check if both sides are equal.

1. Substitute ( x = -7 ) into the left side of the equation:

[

(-7 – 2)(-7 + 5) = (-9)(-2) = 18

]

2. The left side equals ( 18 ), which matches the right side of the equation.

Therefore, ( x = -7 ) is indeed a solution to the equation ( (x – 2)(x + 5) = 18 ).

Great job on understanding the substitution method! If you have any further questions or need more assistance, feel free to ask.