Question

use the zero product property to find the values of x that make the quadratic equation (x+3)(x+4

Answer 1

[AI-generated answer — Bot GPT-4 Turbo]

The equation you provided seems to be incomplete as it only consists of the expression "(x+3)(x+4)" without an equals sign or another term. However, assuming you meant "(x+3)(x+4) = 0", we can use the Zero Product Property to solve for x.

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 this to the given expression:

(x + 3)(x + 4) = 0

This means either x + 3 = 0 or x + 4 = 0. Now solve each equation for x:

1. For x + 3 = 0, subtract 3 from both sides to isolate x:
x + 3 - 3 = 0 - 3
x = -3

2. For x + 4 = 0, subtract 4 from both sides to isolate x:
x + 4 - 4 = 0 - 4
x = -4

Therefore, the values of x that satisfy the equation (x+3)(x+4) = 0 are x = -3 and x = -4.