(x-1)(x+5)=0

Jasonbradley

less than a minute read

·

Jun 17, 2024

12

Share

Solving the Equation (x-1)(x+5) = 0

This equation is a simple quadratic equation in factored form. To solve for x, we can utilize 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.

Applying the Zero Product Property

Let's apply this to our equation:

(x-1)(x+5) = 0

This means either (x-1) = 0 or (x+5) = 0.

Solving for x

Now we solve each equation:

• For (x-1) = 0:

  • Add 1 to both sides: x = 1

• For (x+5) = 0:

  • Subtract 5 from both sides: x = -5

Solutions

Therefore, the solutions to the equation (x-1)(x+5) = 0 are x = 1 and x = -5.

These are the two values of x that make the equation true.