(x-1)*(y+1/5)=0

The equation \((x - 1)(y + \frac{1}{5}) = 0\) can be satisfied if either of the factors equals zero. Here’s how to break it down: 1. **First Factor:** \[ x - 1 = 0 \implies x = 1 \] 2. **Second Factor:** \[ y + \frac{1}{5} = 0 \implies y = -\frac{1}{5} \] Therefore, the solutions to the equation can be summarized as: - \(x = 1\) (for any value of \(y\)), or - \(y = -\frac{1}{5}\) (for any value of \(x\)). This means the solution set includes all points on the line \(x = 1\) and the line \(y = -\frac{1}{5}\). If you need further exploration, let me know!