To solve the equation \((x + 4)(x - 3) = 0\), we can use the property that a product is equal to zero if at least one of the factors is equal to zero.
Set each factor equal to zero:
- \(x + 4 = 0\)
- \(x - 3 = 0\)
Now, solve each equation:
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For \(x + 4 = 0\): \[ x = -4 \]
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For \(x - 3 = 0\): \[ x = 3 \]
Thus, the solutions are: \[ x = -4 \quad \text{and} \quad x = 3 \]