(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!