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(x-3)(x-9)=0

2 min read Jun 17, 2024
(x-3)(x-9)=0

Solving the Equation (x - 3)(x - 9) = 0

This equation is a quadratic equation in factored form. To solve for the values of 'x' that satisfy the equation, we can utilize the Zero Product Property.

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. In our equation:

(x - 3)(x - 9) = 0

This means either (x - 3) = 0 or (x - 9) = 0.

Solving for x

  • Case 1: (x - 3) = 0 Adding 3 to both sides of the equation gives us: x = 3

  • Case 2: (x - 9) = 0 Adding 9 to both sides of the equation gives us: x = 9

The Solution

Therefore, the solutions to the equation (x - 3)(x - 9) = 0 are x = 3 and x = 9.

This means that the equation is satisfied when x is equal to either 3 or 9.

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