(x+1)(x-3)=0 Solution

Jasonbradley

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Jun 16, 2024

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Solving the Equation (x+1)(x-3) = 0

This equation is a quadratic equation in factored form. To solve for x, we can use the Zero Product Property. This 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.

Steps to Solve:

1. Set each factor equal to zero:

   • x + 1 = 0
   • x - 3 = 0

2. Solve for x in each equation:

   • x = -1
   • x = 3

Therefore, the solutions to the equation (x+1)(x-3) = 0 are x = -1 and x = 3.

Explanation:

The equation represents a parabola that intersects the x-axis at the points (-1, 0) and (3, 0). These points correspond to the solutions we found.

In summary, by using the Zero Product Property, we can easily solve quadratic equations that are factored into the product of two linear expressions.