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(x-2)(x+8)=0 Solve For X

less than a minute read Jun 17, 2024
(x-2)(x+8)=0 Solve For X

Solving the Equation (x-2)(x+8) = 0

This equation is a simple quadratic equation in factored form. To solve for x, we can utilize the Zero Product Property.

What is the Zero Product Property?

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

Applying the Zero Product Property

  1. Identify the factors: In our equation, the factors are (x-2) and (x+8).

  2. Set each factor equal to zero:

    • (x - 2) = 0
    • (x + 8) = 0

  3. Solve for x in each equation:

    • x - 2 = 0 => x = 2
    • x + 8 = 0 => x = -8

Solution

Therefore, the solutions to the equation (x-2)(x+8) = 0 are x = 2 and x = -8.

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