Jasonbradley
Home

(x-8)(x+3) 0

2 min read Jun 17, 2024
(x-8)(x+3) 0

Solving the Equation (x-8)(x+3) = 0

This equation represents a quadratic equation in factored form. To find the solutions for x, we can use the Zero Product Property.

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 Property

In our equation, we have two factors: (x-8) and (x+3). To make the product equal to zero, at least one of these factors must be zero.

Therefore, we have two possible scenarios:

  1. (x-8) = 0 Solving for x, we get: x = 8

  2. (x+3) = 0 Solving for x, we get: x = -3

Solutions

Therefore, the solutions to the equation (x-8)(x+3) = 0 are x = 8 and x = -3.

Verification

We can verify our solutions by plugging them back into the original equation:

  • For x = 8: (8-8)(8+3) = 0 * 11 = 0. This is true.
  • For x = -3: (-3-8)(-3+3) = -11 * 0 = 0. This is also true.

Therefore, our solutions are correct.

Related Post

Featured Posts