If $\sin \left(5 x+\frac{\pi}{4}\right)=0$,then $x$ is equal to

  • A
    $\frac{-\pi}{20}+\frac{\pi}{2} n, n \in \mathbb{Z}$
  • B
    $\frac{\pi}{20}+\frac{\pi}{5} n, n \in \mathbb{Z}$
  • C
    $\frac{-\pi}{5}+\frac{\pi}{5} n, n \in \mathbb{Z}$
  • D
    $\frac{-\pi}{20}+\frac{\pi}{5} n, n \in \mathbb{Z}$

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