2^(-2x-14)=(1/2^4)^(x^2+2)
2^(-2x-14)=[2^(-4)]^(x^2+2)
2^(-2x-14)=2^(-4x²-8)
-2x-14=-4x²-8
2x²-x-3=0
(2x-3)(x+1)=0
x=3/2,x=-1