To solve the factored quadratic equation \((x - 5)(x + 3) = 0\), we set each factor equal to zero:
-
\(x - 5 = 0\)
- Solving this gives: \(x = 5\)
-
\(x + 3 = 0\)
- Solving this gives: \(x = -3\)
Thus, the smaller solution is \(x = -3\) and the larger solution is \(x = 5\).
Final answers:
- The smaller solution is \(x = -3\).
- The larger solution is \(x = 5\).