(a-3)(a-4)=0

Jasonbradley

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Jun 16, 2024

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Solving the Equation (a-3)(a-4) = 0

This equation represents a simple quadratic equation in factored form. To solve for the values of 'a' that satisfy the equation, we can utilize the Zero Product Property.

The Zero Product Property

The Zero Product Property states that if the product of two or more factors is equal to zero, then at least one of the factors must be equal to zero.

Applying the Zero Product Property

In our equation, (a-3)(a-4) = 0, we have two factors: (a-3) and (a-4). Therefore, to satisfy the equation, at least one of these factors must equal zero.

This gives us two possible scenarios:

1. (a-3) = 0 Solving for 'a', we get: a = 3

2. (a-4) = 0 Solving for 'a', we get: a = 4

Solutions

Therefore, the solutions to the equation (a-3)(a-4) = 0 are a = 3 and a = 4. These are the values of 'a' that make the equation true.