Answer:
x = -2 or +7
Explanation:
We presume you want to solve ...
18^(x^2 +4x +4) = 18^(9x +18)
Equate exponents of the same base and put the quadratic in standard form.
x^2 +4x +4 = 9x +18
x^2 -5x -14 = 0
(x -7)(x +2) = 0
Values of x that make these factors zero are 7 and -2.
The solutions are x=-2 or x = 7.