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(x-9)(x+1)=0

less than a minute read Jun 17, 2024
(x-9)(x+1)=0

Solving the Equation (x-9)(x+1) = 0

This equation is a simple quadratic equation in factored form. To find the solutions, we can use 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 Property

In our equation, we have two factors: (x-9) and (x+1). For the product to be zero, one or both of these factors must be equal to zero.

  • Case 1: (x-9) = 0

    • Solving for x: x = 9

  • Case 2: (x+1) = 0

    • Solving for x: x = -1

Solutions

Therefore, the solutions to the equation (x-9)(x+1) = 0 are x = 9 and x = -1.

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