(x+8)(x-4)(x-7) 0

Jasonbradley

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Jun 17, 2024

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Solving the Equation (x+8)(x-4)(x-7) = 0

This equation involves a product of three factors that equals zero. The key principle to solving this type of equation is the Zero Product Property:

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

Let's apply this to our equation:

(x + 8)(x - 4)(x - 7) = 0

For this product to equal zero, at least one of the following must be true:

• x + 8 = 0
• x - 4 = 0
• x - 7 = 0

Now, we solve each of these simple equations:

• x + 8 = 0 => x = -8
• x - 4 = 0 => x = 4
• x - 7 = 0 => x = 7

Therefore, the solutions to the equation (x + 8)(x - 4)(x - 7) = 0 are:

x = -8, x = 4, and x = 7