(x-3)(x-4)(x-5) 0

Jasonbradley

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Jun 17, 2024

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Solving the Equation (x-3)(x-4)(x-5) = 0

This equation involves a product of three factors that equals zero. To solve this, we can use the Zero Product Property:

Zero Product Property: If the product of two or more factors is zero, then at least one of the factors must be zero.

Applying this to our equation:

(x-3)(x-4)(x-5) = 0

This means at least one of the following must be true:

• x-3 = 0
• x-4 = 0
• x-5 = 0

Solving each of these equations:

• x - 3 = 0 => x = 3
• x - 4 = 0 => x = 4
• x - 5 = 0 => x = 5

Therefore, the solutions to the equation (x-3)(x-4)(x-5) = 0 are x = 3, x = 4, and x = 5.