(x-4)(x-6) 0

Jasonbradley

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Jun 17, 2024

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Solving the Equation (x-4)(x-6) = 0

This equation is a simple quadratic equation that can be solved using the Zero Product Property. This property states that if the product of two or more factors is zero, then at least one of the factors must be zero.

Let's break down the solution:

1. Identify the factors: The equation (x-4)(x-6) = 0 is already factored, with (x-4) and (x-6) as the factors.

2. Apply the Zero Product Property: Since the product of the two factors is zero, we can set each factor equal to zero and solve for x:

   • x - 4 = 0
   • x - 6 = 0

3. Solve for x:

   • x = 4
   • x = 6

Therefore, the solutions to the equation (x-4)(x-6) = 0 are x = 4 and x = 6.

In conclusion: The equation (x-4)(x-6) = 0 has two solutions, which represent the x-values where the expression equals zero.