(x+2)(x-4) 0

Jasonbradley

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Jun 16, 2024

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Solving the Equation (x+2)(x-4) = 0

This equation represents a quadratic expression set equal to zero. To solve for the values of x that satisfy this equation, we can utilize 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.

In our case, the factors are (x+2) and (x-4). Therefore, to make the product equal to zero, either:

• (x+2) = 0 or
• (x-4) = 0

Solving for x

Let's solve each equation individually:

• (x+2) = 0

  • Subtract 2 from both sides: x = -2

• (x-4) = 0

  • Add 4 to both sides: x = 4

Conclusion

Therefore, the solutions to the equation (x+2)(x-4) = 0 are x = -2 and x = 4.

These values are the roots of the quadratic equation, representing the points where the graph of the function intersects the x-axis.