(x+4)(x-3)=0 Solve For X

Jasonbradley

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Jun 16, 2024

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Solving the Equation (x+4)(x-3) = 0

This equation is a simple 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 zero, then at least one of the factors must be zero.

Steps to solve:

1. Set each factor equal to zero:

   • x + 4 = 0
   • x - 3 = 0

2. Solve each equation for x:

   • x = -4
   • x = 3

Therefore, the solutions to the equation (x+4)(x-3) = 0 are x = -4 and x = 3.

Explanation:

The equation (x+4)(x-3) = 0 represents a parabola that intersects the x-axis at two points. These points correspond to the solutions we found, x = -4 and x = 3.

In other words, if you substitute either -4 or 3 for x in the original equation, the equation will be true.