Jasonbradley
Home

(x-5)(2x+3)=0

less than a minute read Jun 17, 2024
(x-5)(2x+3)=0

Solving the Equation: (x-5)(2x+3) = 0

This equation is a quadratic equation in factored form. We can use the Zero Product Property to solve it.

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-5) and (2x+3). To make the product equal to zero, at least one of these factors must be zero.

Therefore, we have two possible solutions:

  1. x - 5 = 0 Solving for x, we get x = 5

  2. 2x + 3 = 0 Solving for x, we get x = -3/2

Conclusion

The solutions to the equation (x-5)(2x+3) = 0 are x = 5 and x = -3/2.

Related Post

Featured Posts