Let's expand the expression on the left side of the equation:
(X + 6)(X - 3) - (X + 3)(X + 9)= X^2 - 3X + 6X - 18 - (X^2 + 9X + 3X + 27)= X^2 + 3X - 18 - X^2 - 12X - 27= -9X - 45
Now, the equation becomes:
-9X - 45 = 9
To solve for X, add 45 to both sides:
-9X = 54
Then, divide by -9:
X = -6
Therefore, the solution to the equation is X = -6.
Let's expand the expression on the left side of the equation:
(X + 6)(X - 3) - (X + 3)(X + 9)
= X^2 - 3X + 6X - 18 - (X^2 + 9X + 3X + 27)
= X^2 + 3X - 18 - X^2 - 12X - 27
= -9X - 45
Now, the equation becomes:
-9X - 45 = 9
To solve for X, add 45 to both sides:
-9X = 54
Then, divide by -9:
X = -6
Therefore, the solution to the equation is X = -6.