Solve 25leq(x-3)^2+(y+2)^2leq49

$$25 \leq ( x - 3 ) ^ { 2 } + ( y + 2 ) ^ { 2 } \leq 49$$

Solve for x

$$\left\{\begin{matrix}x=3\text{, }&\left(y\geq -9\text{ and }y\leq -7\right)\text{ or }\left(y\geq 3\text{ and }y\leq 5\right)\\x\in \begin{bmatrix}\sqrt{\left(3-y\right)\left(y+7\right)}+3,\sqrt{\left(5-y\right)\left(y+9\right)}+3\end{bmatrix}\text{, }&\sqrt{-\left(y+2\right)^{2}+25}+3\leq \sqrt{-\left(y+2\right)^{2}+49}+3\text{ and }y\leq 3\text{ and }y\geq -7\\x\in \begin{bmatrix}-\sqrt{\left(5-y\right)\left(y+9\right)}+3,-\sqrt{\left(3-y\right)\left(y+7\right)}+3\end{bmatrix}\text{, }&-\sqrt{-\left(y+2\right)^{2}+49}+3\leq -\sqrt{-\left(y+2\right)^{2}+25}+3\text{ and }y\leq 3\text{ and }y\geq -7\\x\in \begin{bmatrix}-\sqrt{\left(5-y\right)\left(y+9\right)}+3,\sqrt{\left(5-y\right)\left(y+9\right)}+3\end{bmatrix}\text{, }&\left(y>-9\text{ and }y\leq -7\right)\text{ or }\left(y\geq 3\text{ and }y<5\right)\end{matrix}\right.$$

Solve for y

$$\left\{\begin{matrix}y=-2\text{, }&\left(x\geq -4\text{ and }x\leq -2\right)\text{ or }\left(x\geq 8\text{ and }x\leq 10\right)\\y\in \begin{bmatrix}\sqrt{-\left(x-8\right)\left(x+2\right)}-2,\sqrt{-\left(x-10\right)\left(x+4\right)}-2\end{bmatrix}\text{, }&\sqrt{-\left(x-3\right)^{2}+25}-2\leq \sqrt{-\left(x-3\right)^{2}+49}-2\text{ and }x\leq 8\text{ and }x\geq -2\\y\in \begin{bmatrix}-\sqrt{-\left(x-10\right)\left(x+4\right)}-2,-\sqrt{-\left(x-8\right)\left(x+2\right)}-2\end{bmatrix}\text{, }&-\sqrt{-\left(x-3\right)^{2}+49}-2\leq -\sqrt{-\left(x-3\right)^{2}+25}-2\text{ and }x\leq 8\text{ and }x\geq -2\\y\in \begin{bmatrix}-\sqrt{-\left(x-10\right)\left(x+4\right)}-2,\sqrt{-\left(x-10\right)\left(x+4\right)}-2\end{bmatrix}\text{, }&\left(x\geq 8\text{ and }x<10\right)\text{ or }\left(x>-4\text{ and }x\leq -2\right)\end{matrix}\right.$$