(x+9)(x-6)=0

Jasonbradley

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Jun 17, 2024

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Solving the Equation: (x+9)(x-6) = 0

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

Let's apply this to our equation:

(x+9)(x-6) = 0

This means either (x+9) = 0 or (x-6) = 0.

Solving for x

Now we can solve each of these equations separately:

• For (x+9) = 0: Subtract 9 from both sides: x = -9

• For (x-6) = 0: Add 6 to both sides: x = 6

The Solutions

Therefore, the solutions to the equation (x+9)(x-6) = 0 are:

x = -9 and x = 6.

These are the values of x that make the equation true.