Nghiệm của phương trình 2(sinx + cosx) + sinx cosx = 2 là:

A. $\frac{\mathrm{\pi }}{2}+k2\mathrm{\pi }, \mathrm{k}\in \mathrm{Z} \mathrm{hoặc} \mathrm{k}2\mathrm{\pi }, \mathrm{k}\in \mathrm{Z}$

B. $\frac{\mathrm{\pi }}{2}+k\mathrm{\pi }, \mathrm{k}\in \mathrm{Z} \mathrm{hoặc} \mathrm{k\pi }, \mathrm{k}\in \mathrm{Z}$

C. $-\frac{\mathrm{\pi }}{2}+k2\mathrm{\pi }, \mathrm{k}\in \mathrm{Z} \mathrm{hoặc} \mathrm{k}2\mathrm{\pi }, \mathrm{k}\in \mathrm{Z}$

D. $-\frac{\mathrm{\pi }}{2}+k\mathrm{\pi }, \mathrm{k}\in \mathrm{Z} \mathrm{hoặc} \mathrm{k\pi }, \mathrm{k}\in \mathrm{Z}$