To solve the equation \((x+4)(x-3)=0\), we can use the zero-product property. This property states that if the product of two factors is zero, then at least one of the factors must be zero. Therefore, we set each factor equal to zero and solve for \(x\).
Step 1: Apply the Zero-Product Property
Given the equation \((x+4)(x-3)=0\), we apply the zero-product property. This property states that if the product of two factors is zero, then at least one of the factors must be zero. Therefore, we set each factor equal to zero: