(x-7)(x+12)=0

Jasonbradley

2 min read

·

Jun 17, 2024

13

Share

Solving the Equation (x - 7)(x + 12) = 0

This equation is a quadratic equation in factored form. To solve for x, we can use the Zero Product Property, which states that if the product of two factors is zero, then at least one of the factors must be zero.

Here's how to solve the equation:

1. Set each factor equal to zero:

   • x - 7 = 0
   • x + 12 = 0

2. Solve for x in each equation:

   • x = 7
   • x = -12

Therefore, the solutions to the equation (x - 7)(x + 12) = 0 are x = 7 and x = -12.

Understanding the Solution

The solutions, x = 7 and x = -12, represent the x-intercepts of the parabola represented by the quadratic equation. These are the points where the parabola crosses the x-axis.

In summary:

• The equation (x - 7)(x + 12) = 0 is a quadratic equation in factored form.
• By applying the Zero Product Property, we can solve for the values of x that make the equation true.
• The solutions, x = 7 and x = -12, represent the x-intercepts of the parabola.