(x-7)(x+2)=

Jasonbradley

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Jun 17, 2024

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Solving the Equation (x - 7)(x + 2) = 0

This equation represents a quadratic expression in factored form. To solve for the values of 'x' that satisfy the 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 zero, then at least one of the factors must be zero.

In our case, the factors are (x - 7) and (x + 2). Therefore, for the product to be zero, either:

• (x - 7) = 0
• (x + 2) = 0

Solving for x

Let's solve each equation separately:

• (x - 7) = 0 Adding 7 to both sides, we get: x = 7

• (x + 2) = 0 Subtracting 2 from both sides, we get: x = -2

Conclusion

Therefore, the solutions to the equation (x - 7)(x + 2) = 0 are:

• x = 7
• x = -2