To solve the equation \((x + 7)(x - 3) = 0\), we set each factor equal to zero:
-
\(x + 7 = 0\)
- Solving for \(x\) gives \(x = -7\).
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\(x - 3 = 0\)
- Solving for \(x\) gives \(x = 3\).
Therefore, the solutions are:
\(x = -7\) and \(x = 3\).
Listing the smaller solution first:
\(x = -7\) and \(x = 3\).